{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "mediterranean-treaty",
   "metadata": {},
   "source": [
    "# 习题 6.7\n",
    "\n",
    "![习题 6.7 描述](https://tva1.sinaimg.cn/large/008i3skNly1gre3npqkfbj31a209e0we.jpg)\n",
    "![习题 6.7 题目](https://tva1.sinaimg.cn/large/008i3skNly1gre3o642hfj31j40a2gov.jpg)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "republican-confirmation",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table class=\"dataframe\">\n",
       "<caption>A data.frame: 16 × 6</caption>\n",
       "<thead>\n",
       "\t<tr><th></th><th scope=col>x1</th><th scope=col>x2</th><th scope=col>x3</th><th scope=col>x4</th><th scope=col>x5</th><th scope=col>x6</th></tr>\n",
       "\t<tr><th></th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "\t<tr><th scope=row>1985</th><td>128.1</td><td>100.0</td><td>134.2</td><td>100.0</td><td>166.8</td><td>111.1</td></tr>\n",
       "\t<tr><th scope=row>1986</th><td>135.8</td><td>106.5</td><td>143.6</td><td>106.1</td><td>177.5</td><td>114.7</td></tr>\n",
       "\t<tr><th scope=row>1987</th><td>145.7</td><td>114.3</td><td>156.2</td><td>112.7</td><td>198.8</td><td>120.2</td></tr>\n",
       "\t<tr><th scope=row>1988</th><td>172.7</td><td>135.8</td><td>188.5</td><td>132.4</td><td>244.5</td><td>138.5</td></tr>\n",
       "\t<tr><th scope=row>1989</th><td>203.4</td><td>160.2</td><td>219.2</td><td>157.9</td><td>281.2</td><td>164.4</td></tr>\n",
       "\t<tr><th scope=row>1990</th><td>207.7</td><td>165.2</td><td>222.0</td><td>165.1</td><td>273.9</td><td>172.0</td></tr>\n",
       "\t<tr><th scope=row>1991</th><td>213.7</td><td>170.8</td><td>233.3</td><td>168.9</td><td>268.4</td><td>177.2</td></tr>\n",
       "\t<tr><th scope=row>1992</th><td>225.2</td><td>181.7</td><td>253.4</td><td>176.8</td><td>277.5</td><td>182.7</td></tr>\n",
       "\t<tr><th scope=row>1993</th><td>254.9</td><td>208.4</td><td>294.2</td><td>201.0</td><td>314.7</td><td>204.3</td></tr>\n",
       "\t<tr><th scope=row>1994</th><td>310.2</td><td>258.6</td><td>367.8</td><td>248.0</td><td>440.3</td><td>239.4</td></tr>\n",
       "\t<tr><th scope=row>1995</th><td>356.1</td><td>302.8</td><td>429.6</td><td>291.4</td><td>527.9</td><td>274.6</td></tr>\n",
       "\t<tr><th scope=row>1996</th><td>377.8</td><td>327.9</td><td>467.4</td><td>314.4</td><td>550.1</td><td>291.6</td></tr>\n",
       "\t<tr><th scope=row>1997</th><td>380.8</td><td>337.1</td><td>481.9</td><td>322.3</td><td>525.3</td><td>294.8</td></tr>\n",
       "\t<tr><th scope=row>1998</th><td>370.9</td><td>334.4</td><td>479.0</td><td>319.1</td><td>483.3</td><td>288.3</td></tr>\n",
       "\t<tr><th scope=row>1999</th><td>359.8</td><td>329.7</td><td>472.8</td><td>314.3</td><td>424.3</td><td>280.5</td></tr>\n",
       "\t<tr><th scope=row>2000</th><td>354.4</td><td>331.0</td><td>476.6</td><td>314.0</td><td>409.0</td><td>277.1</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A data.frame: 16 × 6\n",
       "\\begin{tabular}{r|llllll}\n",
       "  & x1 & x2 & x3 & x4 & x5 & x6\\\\\n",
       "  & <dbl> & <dbl> & <dbl> & <dbl> & <dbl> & <dbl>\\\\\n",
       "\\hline\n",
       "\t1985 & 128.1 & 100.0 & 134.2 & 100.0 & 166.8 & 111.1\\\\\n",
       "\t1986 & 135.8 & 106.5 & 143.6 & 106.1 & 177.5 & 114.7\\\\\n",
       "\t1987 & 145.7 & 114.3 & 156.2 & 112.7 & 198.8 & 120.2\\\\\n",
       "\t1988 & 172.7 & 135.8 & 188.5 & 132.4 & 244.5 & 138.5\\\\\n",
       "\t1989 & 203.4 & 160.2 & 219.2 & 157.9 & 281.2 & 164.4\\\\\n",
       "\t1990 & 207.7 & 165.2 & 222.0 & 165.1 & 273.9 & 172.0\\\\\n",
       "\t1991 & 213.7 & 170.8 & 233.3 & 168.9 & 268.4 & 177.2\\\\\n",
       "\t1992 & 225.2 & 181.7 & 253.4 & 176.8 & 277.5 & 182.7\\\\\n",
       "\t1993 & 254.9 & 208.4 & 294.2 & 201.0 & 314.7 & 204.3\\\\\n",
       "\t1994 & 310.2 & 258.6 & 367.8 & 248.0 & 440.3 & 239.4\\\\\n",
       "\t1995 & 356.1 & 302.8 & 429.6 & 291.4 & 527.9 & 274.6\\\\\n",
       "\t1996 & 377.8 & 327.9 & 467.4 & 314.4 & 550.1 & 291.6\\\\\n",
       "\t1997 & 380.8 & 337.1 & 481.9 & 322.3 & 525.3 & 294.8\\\\\n",
       "\t1998 & 370.9 & 334.4 & 479.0 & 319.1 & 483.3 & 288.3\\\\\n",
       "\t1999 & 359.8 & 329.7 & 472.8 & 314.3 & 424.3 & 280.5\\\\\n",
       "\t2000 & 354.4 & 331.0 & 476.6 & 314.0 & 409.0 & 277.1\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A data.frame: 16 × 6\n",
       "\n",
       "| <!--/--> | x1 &lt;dbl&gt; | x2 &lt;dbl&gt; | x3 &lt;dbl&gt; | x4 &lt;dbl&gt; | x5 &lt;dbl&gt; | x6 &lt;dbl&gt; |\n",
       "|---|---|---|---|---|---|---|\n",
       "| 1985 | 128.1 | 100.0 | 134.2 | 100.0 | 166.8 | 111.1 |\n",
       "| 1986 | 135.8 | 106.5 | 143.6 | 106.1 | 177.5 | 114.7 |\n",
       "| 1987 | 145.7 | 114.3 | 156.2 | 112.7 | 198.8 | 120.2 |\n",
       "| 1988 | 172.7 | 135.8 | 188.5 | 132.4 | 244.5 | 138.5 |\n",
       "| 1989 | 203.4 | 160.2 | 219.2 | 157.9 | 281.2 | 164.4 |\n",
       "| 1990 | 207.7 | 165.2 | 222.0 | 165.1 | 273.9 | 172.0 |\n",
       "| 1991 | 213.7 | 170.8 | 233.3 | 168.9 | 268.4 | 177.2 |\n",
       "| 1992 | 225.2 | 181.7 | 253.4 | 176.8 | 277.5 | 182.7 |\n",
       "| 1993 | 254.9 | 208.4 | 294.2 | 201.0 | 314.7 | 204.3 |\n",
       "| 1994 | 310.2 | 258.6 | 367.8 | 248.0 | 440.3 | 239.4 |\n",
       "| 1995 | 356.1 | 302.8 | 429.6 | 291.4 | 527.9 | 274.6 |\n",
       "| 1996 | 377.8 | 327.9 | 467.4 | 314.4 | 550.1 | 291.6 |\n",
       "| 1997 | 380.8 | 337.1 | 481.9 | 322.3 | 525.3 | 294.8 |\n",
       "| 1998 | 370.9 | 334.4 | 479.0 | 319.1 | 483.3 | 288.3 |\n",
       "| 1999 | 359.8 | 329.7 | 472.8 | 314.3 | 424.3 | 280.5 |\n",
       "| 2000 | 354.4 | 331.0 | 476.6 | 314.0 | 409.0 | 277.1 |\n",
       "\n"
      ],
      "text/plain": [
       "     x1    x2    x3    x4    x5    x6   \n",
       "1985 128.1 100.0 134.2 100.0 166.8 111.1\n",
       "1986 135.8 106.5 143.6 106.1 177.5 114.7\n",
       "1987 145.7 114.3 156.2 112.7 198.8 120.2\n",
       "1988 172.7 135.8 188.5 132.4 244.5 138.5\n",
       "1989 203.4 160.2 219.2 157.9 281.2 164.4\n",
       "1990 207.7 165.2 222.0 165.1 273.9 172.0\n",
       "1991 213.7 170.8 233.3 168.9 268.4 177.2\n",
       "1992 225.2 181.7 253.4 176.8 277.5 182.7\n",
       "1993 254.9 208.4 294.2 201.0 314.7 204.3\n",
       "1994 310.2 258.6 367.8 248.0 440.3 239.4\n",
       "1995 356.1 302.8 429.6 291.4 527.9 274.6\n",
       "1996 377.8 327.9 467.4 314.4 550.1 291.6\n",
       "1997 380.8 337.1 481.9 322.3 525.3 294.8\n",
       "1998 370.9 334.4 479.0 319.1 483.3 288.3\n",
       "1999 359.8 329.7 472.8 314.3 424.3 280.5\n",
       "2000 354.4 331.0 476.6 314.0 409.0 277.1"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "data <- read.csv(\"ex_6_7.csv\", row.names=1); data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "occupied-cloud",
   "metadata": {},
   "outputs": [],
   "source": [
    "d <- dist(data)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "agricultural-mexico",
   "metadata": {},
   "source": [
    "## (1) 最长距离法"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "joint-building",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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vHhC8t+oTX/7jyvv7K3W11y1Lzut1sL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\npX9KoV3uJB8l+UlcMF/kj5dcvkpbT5U7IAod9tB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KBxthWadNV1WDVuq0RjVoz1AtcyC0obR8g3JVLsL/xdCP5VjN1f/t3iAbBEhp78TC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\nNkLkAAAAAElFTkSuQmCC",
      "text/plain": [
       "Plot with title “Longest Distance Cluster”"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "h1 <- hclust(d, method=\"complete\")\n",
    "\n",
    "plot(h1, hang=-1, main=\"Longest Distance Cluster\", xlab=\"Year\")    # hang=-1 表示线画到底\n",
    "rect.hclust(h1, k=3)    # 画出分为 3 类的矩形框"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "supreme-waterproof",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1994，1999，2000，1995，1998，1996，1997，1988，1987，1985，1986，1993，1989，1990，1991，1992"
     ]
    }
   ],
   "source": [
    "# HELPER：Years in the hclust order\n",
    "cat(h1$labels[h1$order], sep=\"，\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "crude-heating",
   "metadata": {},
   "source": [
    "可以看出聚成三类的结果是：\n",
    "\n",
    "- 第一类：1994，1999，2000，1995，1998，1996，1997\n",
    "- 第二类：1988，1987，1985，1986\n",
    "- 第三类：1993，1989，1990，1991，1992"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "acoustic-tracy",
   "metadata": {},
   "source": [
    "## (2) 类平均距离法"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "victorian-penny",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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V4fj9s7qb7Wfa5OZtGqL/dPqi/nJl9PNrTVuuq7RfVaVO+AT9Imfa1YaYybbW8s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",
      "text/plain": [
       "Plot with title “Classes Average Distance Cluster”"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "h2 <- hclust(d, method=\"average\")\n",
    "\n",
    "plot(h2, hang=-1, main=\"Classes Average Distance Cluster\", xlab=\"Year\")\n",
    "rect.hclust(h2, k=3)    # 画出分为 3 类的矩形框"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "living-discretion",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1994，1999，2000，1995，1998，1996，1997，1987，1985，1986，1993，1988，1992，1991，1989，1990"
     ]
    }
   ],
   "source": [
    "# HELPER：Years in the hclust order\n",
    "cat(h2$labels[h2$order], sep=\"，\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "postal-brook",
   "metadata": {},
   "source": [
    "聚成三类的结果是：\n",
    "\n",
    "- 第一类：1994，1999，2000，1995，1998，1996，1997\n",
    "- 第二类：1987，1985，1986\n",
    "- 第三类：1993，1988，1992，1991，1989，1990"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "banner-generic",
   "metadata": {},
   "source": [
    "## (3) 数据标准化"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "opposite-nurse",
   "metadata": {},
   "source": [
    "### 数据标准化"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "lined-strategy",
   "metadata": {},
   "source": [
    "先用 scale 将数据标准化："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "indoor-opening",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table class=\"dataframe\">\n",
       "<caption>A matrix: 16 × 6 of type dbl</caption>\n",
       "<thead>\n",
       "\t<tr><th></th><th scope=col>x1</th><th scope=col>x2</th><th scope=col>x3</th><th scope=col>x4</th><th scope=col>x5</th><th scope=col>x6</th></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "\t<tr><th scope=row>1985</th><td>-1.41939946</td><td>-1.3334326</td><td>-1.3213620</td><td>-1.3417390</td><td>-1.3788101</td><td>-1.40310086</td></tr>\n",
       "\t<tr><th scope=row>1986</th><td>-1.33797367</td><td>-1.2628375</td><td>-1.2521774</td><td>-1.2707383</td><td>-1.2972638</td><td>-1.35108734</td></tr>\n",
       "\t<tr><th scope=row>1987</th><td>-1.23328338</td><td>-1.1781234</td><td>-1.1594406</td><td>-1.1939179</td><td>-1.1349331</td><td>-1.27162223</td></tr>\n",
       "\t<tr><th scope=row>1988</th><td>-0.94776440</td><td>-0.9446166</td><td>-0.9217104</td><td>-0.9646205</td><td>-0.7866463</td><td>-1.00722017</td></tr>\n",
       "\t<tr><th scope=row>1989</th><td>-0.62311874</td><td>-0.6796135</td><td>-0.6957563</td><td>-0.6678142</td><td>-0.5069498</td><td>-0.63301178</td></tr>\n",
       "\t<tr><th scope=row>1990</th><td>-0.57764720</td><td>-0.6253096</td><td>-0.6751482</td><td>-0.5840100</td><td>-0.5625843</td><td>-0.52320546</td></tr>\n",
       "\t<tr><th scope=row>1991</th><td>-0.51419854</td><td>-0.5644892</td><td>-0.5919794</td><td>-0.5397801</td><td>-0.6045006</td><td>-0.44807481</td></tr>\n",
       "\t<tr><th scope=row>1992</th><td>-0.39258860</td><td>-0.4461067</td><td>-0.4440420</td><td>-0.4478283</td><td>-0.5351481</td><td>-0.36860971</td></tr>\n",
       "\t<tr><th scope=row>1993</th><td>-0.07851772</td><td>-0.1561238</td><td>-0.1437513</td><td>-0.1661533</td><td>-0.2516411</td><td>-0.05652858</td></tr>\n",
       "\t<tr><th scope=row>1994</th><td> 0.50626745</td><td> 0.3890875</td><td> 0.3979496</td><td> 0.3809014</td><td> 0.7055762</td><td> 0.45060325</td></tr>\n",
       "\t<tr><th scope=row>1995</th><td> 0.99164972</td><td> 0.8691341</td><td> 0.8528018</td><td> 0.8860541</td><td> 1.3731895</td><td> 0.95917990</td></tr>\n",
       "\t<tr><th scope=row>1996</th><td> 1.22112239</td><td> 1.1417398</td><td> 1.1310123</td><td> 1.1537617</td><td> 1.5423792</td><td> 1.20479931</td></tr>\n",
       "\t<tr><th scope=row>1997</th><td> 1.25284672</td><td> 1.2416590</td><td> 1.2377333</td><td> 1.2457135</td><td> 1.3533745</td><td> 1.25103355</td></tr>\n",
       "\t<tr><th scope=row>1998</th><td> 1.14815642</td><td> 1.2123349</td><td> 1.2163891</td><td> 1.2084672</td><td> 1.0332859</td><td> 1.15712025</td></tr>\n",
       "\t<tr><th scope=row>1999</th><td> 1.03077640</td><td> 1.1612892</td><td> 1.1707567</td><td> 1.1525978</td><td> 0.5836377</td><td> 1.04442428</td></tr>\n",
       "\t<tr><th scope=row>2000</th><td> 0.97367260</td><td> 1.1754082</td><td> 1.1987249</td><td> 1.1491059</td><td> 0.4670340</td><td> 0.99530040</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A matrix: 16 × 6 of type dbl\n",
       "\\begin{tabular}{r|llllll}\n",
       "  & x1 & x2 & x3 & x4 & x5 & x6\\\\\n",
       "\\hline\n",
       "\t1985 & -1.41939946 & -1.3334326 & -1.3213620 & -1.3417390 & -1.3788101 & -1.40310086\\\\\n",
       "\t1986 & -1.33797367 & -1.2628375 & -1.2521774 & -1.2707383 & -1.2972638 & -1.35108734\\\\\n",
       "\t1987 & -1.23328338 & -1.1781234 & -1.1594406 & -1.1939179 & -1.1349331 & -1.27162223\\\\\n",
       "\t1988 & -0.94776440 & -0.9446166 & -0.9217104 & -0.9646205 & -0.7866463 & -1.00722017\\\\\n",
       "\t1989 & -0.62311874 & -0.6796135 & -0.6957563 & -0.6678142 & -0.5069498 & -0.63301178\\\\\n",
       "\t1990 & -0.57764720 & -0.6253096 & -0.6751482 & -0.5840100 & -0.5625843 & -0.52320546\\\\\n",
       "\t1991 & -0.51419854 & -0.5644892 & -0.5919794 & -0.5397801 & -0.6045006 & -0.44807481\\\\\n",
       "\t1992 & -0.39258860 & -0.4461067 & -0.4440420 & -0.4478283 & -0.5351481 & -0.36860971\\\\\n",
       "\t1993 & -0.07851772 & -0.1561238 & -0.1437513 & -0.1661533 & -0.2516411 & -0.05652858\\\\\n",
       "\t1994 &  0.50626745 &  0.3890875 &  0.3979496 &  0.3809014 &  0.7055762 &  0.45060325\\\\\n",
       "\t1995 &  0.99164972 &  0.8691341 &  0.8528018 &  0.8860541 &  1.3731895 &  0.95917990\\\\\n",
       "\t1996 &  1.22112239 &  1.1417398 &  1.1310123 &  1.1537617 &  1.5423792 &  1.20479931\\\\\n",
       "\t1997 &  1.25284672 &  1.2416590 &  1.2377333 &  1.2457135 &  1.3533745 &  1.25103355\\\\\n",
       "\t1998 &  1.14815642 &  1.2123349 &  1.2163891 &  1.2084672 &  1.0332859 &  1.15712025\\\\\n",
       "\t1999 &  1.03077640 &  1.1612892 &  1.1707567 &  1.1525978 &  0.5836377 &  1.04442428\\\\\n",
       "\t2000 &  0.97367260 &  1.1754082 &  1.1987249 &  1.1491059 &  0.4670340 &  0.99530040\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A matrix: 16 × 6 of type dbl\n",
       "\n",
       "| <!--/--> | x1 | x2 | x3 | x4 | x5 | x6 |\n",
       "|---|---|---|---|---|---|---|\n",
       "| 1985 | -1.41939946 | -1.3334326 | -1.3213620 | -1.3417390 | -1.3788101 | -1.40310086 |\n",
       "| 1986 | -1.33797367 | -1.2628375 | -1.2521774 | -1.2707383 | -1.2972638 | -1.35108734 |\n",
       "| 1987 | -1.23328338 | -1.1781234 | -1.1594406 | -1.1939179 | -1.1349331 | -1.27162223 |\n",
       "| 1988 | -0.94776440 | -0.9446166 | -0.9217104 | -0.9646205 | -0.7866463 | -1.00722017 |\n",
       "| 1989 | -0.62311874 | -0.6796135 | -0.6957563 | -0.6678142 | -0.5069498 | -0.63301178 |\n",
       "| 1990 | -0.57764720 | -0.6253096 | -0.6751482 | -0.5840100 | -0.5625843 | -0.52320546 |\n",
       "| 1991 | -0.51419854 | -0.5644892 | -0.5919794 | -0.5397801 | -0.6045006 | -0.44807481 |\n",
       "| 1992 | -0.39258860 | -0.4461067 | -0.4440420 | -0.4478283 | -0.5351481 | -0.36860971 |\n",
       "| 1993 | -0.07851772 | -0.1561238 | -0.1437513 | -0.1661533 | -0.2516411 | -0.05652858 |\n",
       "| 1994 |  0.50626745 |  0.3890875 |  0.3979496 |  0.3809014 |  0.7055762 |  0.45060325 |\n",
       "| 1995 |  0.99164972 |  0.8691341 |  0.8528018 |  0.8860541 |  1.3731895 |  0.95917990 |\n",
       "| 1996 |  1.22112239 |  1.1417398 |  1.1310123 |  1.1537617 |  1.5423792 |  1.20479931 |\n",
       "| 1997 |  1.25284672 |  1.2416590 |  1.2377333 |  1.2457135 |  1.3533745 |  1.25103355 |\n",
       "| 1998 |  1.14815642 |  1.2123349 |  1.2163891 |  1.2084672 |  1.0332859 |  1.15712025 |\n",
       "| 1999 |  1.03077640 |  1.1612892 |  1.1707567 |  1.1525978 |  0.5836377 |  1.04442428 |\n",
       "| 2000 |  0.97367260 |  1.1754082 |  1.1987249 |  1.1491059 |  0.4670340 |  0.99530040 |\n",
       "\n"
      ],
      "text/plain": [
       "     x1          x2         x3         x4         x5         x6         \n",
       "1985 -1.41939946 -1.3334326 -1.3213620 -1.3417390 -1.3788101 -1.40310086\n",
       "1986 -1.33797367 -1.2628375 -1.2521774 -1.2707383 -1.2972638 -1.35108734\n",
       "1987 -1.23328338 -1.1781234 -1.1594406 -1.1939179 -1.1349331 -1.27162223\n",
       "1988 -0.94776440 -0.9446166 -0.9217104 -0.9646205 -0.7866463 -1.00722017\n",
       "1989 -0.62311874 -0.6796135 -0.6957563 -0.6678142 -0.5069498 -0.63301178\n",
       "1990 -0.57764720 -0.6253096 -0.6751482 -0.5840100 -0.5625843 -0.52320546\n",
       "1991 -0.51419854 -0.5644892 -0.5919794 -0.5397801 -0.6045006 -0.44807481\n",
       "1992 -0.39258860 -0.4461067 -0.4440420 -0.4478283 -0.5351481 -0.36860971\n",
       "1993 -0.07851772 -0.1561238 -0.1437513 -0.1661533 -0.2516411 -0.05652858\n",
       "1994  0.50626745  0.3890875  0.3979496  0.3809014  0.7055762  0.45060325\n",
       "1995  0.99164972  0.8691341  0.8528018  0.8860541  1.3731895  0.95917990\n",
       "1996  1.22112239  1.1417398  1.1310123  1.1537617  1.5423792  1.20479931\n",
       "1997  1.25284672  1.2416590  1.2377333  1.2457135  1.3533745  1.25103355\n",
       "1998  1.14815642  1.2123349  1.2163891  1.2084672  1.0332859  1.15712025\n",
       "1999  1.03077640  1.1612892  1.1707567  1.1525978  0.5836377  1.04442428\n",
       "2000  0.97367260  1.1754082  1.1987249  1.1491059  0.4670340  0.99530040"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "data.scale <- scale(data); data.scale"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "stylish-lying",
   "metadata": {},
   "source": [
    "重新计算标准化数据的距离："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "indonesian-visiting",
   "metadata": {},
   "outputs": [],
   "source": [
    "ds <- dist(data.scale)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "social-jordan",
   "metadata": {},
   "source": [
    "### 最长距离法"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "missing-repair",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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FFlz8Rhibclmse9f1B3nUw3K3fIBs3j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VjNc9VVlScVlL+R/Fy92hCsUdJHe0XlQ+rbhzNk6hIIAAAggggAACCCCAAAKVCvhS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\nRK5CYII=",
      "text/plain": [
       "Plot with title “Longest Distance Cluster - scaled data”"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "h3 <- hclust(ds, method=\"complete\")\n",
    "\n",
    "plot(h3, hang=-1, main=\"Longest Distance Cluster - scaled data\", xlab=\"Year\")\n",
    "rect.hclust(h3, k=3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "instrumental-privacy",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1994，1999，2000，1995，1998，1996，1997，1988，1987，1985，1986，1993，1992，1989，1990，1991"
     ]
    }
   ],
   "source": [
    "# HELPER：Years in the hclust order\n",
    "cat(h3$labels[h3$order], sep=\"，\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "pacific-shanghai",
   "metadata": {},
   "source": [
    "聚成三类的结果：\n",
    "\n",
    "- 第一类：1994，1999，2000，1995，1998，1996，1997\n",
    "- 第二类：1988，1987，1985，1986\n",
    "- 第三类：1993，1992，1989，1990，1991"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "aggressive-vegetable",
   "metadata": {},
   "source": [
    "### 类平均距离法"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "mental-bedroom",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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nV16rE5XdZ6bvxZKnbn1XIzj9dq+6Cp896c7SckfiWxV6J9LL0723WzUvGPifZ6\nn8h2V+6Yle5YPb+nyy2zoztey3oOdKVuwL6e6I7XNzSPTdQ81vOp239G1i+fqHK3RLe/ls9M\n3Cpx/0QZd8femvXNlgNT8bOJ7txafifxzkR9YNC61LHat2+iLSdkozv/Uc2BqndWc+wjWf/N\nxH0S1X53Ti3rdaYrs75WrDfH1fasfl/OuV1fj+06ucXLWQ2qW3+V6Ppby1cnKsl+TeJHie7Y\n32a9yqyP/7Weo9XmLNZXyHnt462eBw9N/F7ifYmu393yiOzbTPmbVOrOqeU/J+6bqNeO1qOO\nPT9RZVaTOvdJie5638v6YxLHJarM+vp+/tn+T4AAgSUSeED6Wi+C3QviWst6kZ8ua73BXCkV\n22+n2jbrRqy9GaoX367cPit1Q9XWn16vG5G68etKfTL3+sR0ventV6RO3Ux35aisnJaYrtdu\nP7mrPFnO0r+pJn68We7ttW784yP9K2Vadt053RthW7ssvtbUqbo3aCs067OMv+3zKU1b7eqs\nc183oy9JdONrl5Wwv7Y59pyst2WWsbTnT68fnx3t9ddbr288rjjdQLbXem7M+nitS3wgMd2X\nupmp0t7UTNdpH+f1/LrYeWec/0cdurpDE6Rq4tcS9Xzs2uhb/npVnJR6/k3f7E2fU0noNboT\nNrk8LPXekZhua3q7EpxL9rR5QnPuo6aOP6M5Nt1e3aB3+8qhLbO+Vqw3x7P6fTkd6/p5bNvJ\nLV6f1eCi6dd7mj53fW+X78/xSo67Msvjf63naLU5q/WDcm7bz3b9X3Lsm83xI7K+mXKpVPp0\nom2rW69v3tvXzfZ9YRaT6s9d1rjWQdk/6+t7tasQIEBg6QTqhqQ+nftqonvhrWXdNL0ycb1E\nX1nvDeamOaFuSNr2PpztmyR+q9n/qay35ehs1DXbZKBro/p4VFt5sr5fln+eOD3R1e2WdXPw\nJ4m6MZ0ul86OlyfaN60679REJQN9ZZb+9bXTfqL4yb4KPfvemH3duOqbjb6bvfZN8f09bbS7\nho6/TLrrn9I2NLU+69xfJO38r8RbEvXjM+9OPDyxT6K9CXh6tqfL0LFMn99ur5cgfSkV35uo\n/ty6PWlqfb3nxqyP15vlGp9PdHPwo6w/ZXLdarPmvvZ1x7+f9Ury64bz1ES3/zeyXmVPvkE6\nv4Xz/zJXzdNZia79WtZj75hEXzk2Oz+eaJ/jdf6LE1dNzFK6x069xkz3pczqxrUc+soJ2dn1\nfTpBqnafmfhOU+dTWb9Poh5z3XmVeE6Xo7Nj6GvZzXLOWnPctT/U78s5setnnbudZRaD6t/e\niYcnvp7o+l7LekzXNyeVNLRllsf/z6eBtu292gYn68dmOfSxWgnGFxJd29/K+v9J1GPpK83+\nw7O+2XJIKlaC1T2/z8n6BxLXSfx+orvWcVnvyiwmdW693j470bVZy+r3lRNVZn19P/9s/18J\ngfqEQSEwNoErZkB1k1Iv8KckfpiYtdQbwmGJKyQ+lqgEbLPlYqlYn1ZdJvHFxGcSlRSsV+p6\nhyZ+clLp1CzrhrZe4DcqV0mFGnslWacl6uZtvTJL/9Zrb6ePDR3/Rv0dMvd1Y3K5RD3m6o2/\nr1TSdOvJgcdlWQnxWmXeY1nrOnu6f5bHa904XiNRCf9Jiekb84Oy7+qJMxMfTZyV2I5S/blW\novp3cmIzz/UDU+/IRPW1zqkbyXmU6su1E9WXTyfq5m5PS7V13US9FtU34EPK0NeKjea4u/ZW\n+XXtz3M51KC9dr0uH56o14d6H1jvPWmrHv+zWNfrUCU2H0ps9H6SKpsqB6RWPWfq+bLZx/Ws\nJpWEXjNR5qcn2jLk9b09zzoBAgQIECCwSYF6068b+brxqRvaf0q0pT6pr5uBSnQr7p1QCBAg\nQIAAAQIECBAgMFqB92ZkXQJUy7ck/jrxwsRnE92x+kbw4IRCgAABAgQIECBAgACB0QoclZF9\nL9ElQn3L+vn7e41WwMAIECBAgAABAgQIECDQCNTvGjw+cWLia4lKkuqX42u7fuyufvdGIUCA\nAAECBAgQIECAwEoK1F9TUggQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQ\nIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQ\nIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQ\nIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQ\nIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQ\nIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQ\nIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQ\nIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQ\nIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQ\nIECAAAECBAgQIECAAAECBAgQIECAAIG1BI5Y64D9BAgQIECAAAECBAgQWCWBG2SwZyX2XqVB\nGysBAgQIECBAgACBRRO4yKJ1aEX7s0/GvVfCfKzoA8CwCRAgQIAAAQIEFkPADflizINeECBA\ngAABAgQIECCwAAISpAWYBF0gQIAAAQIECBAgQGAxBCRIizEPekGAAAECBAgQIECAwAIISJAW\nYBJ0gQABAgQIECBAgACBxRCQIC3GPOgFAQIECBAgQIAAAQILICBBWoBJ0AUCBAgQIECAAAEC\nBBZDQIK0GPOgFwQIECBAgAABAgQILICABGkBJkEXCBAgQIAAAQIECBBYDAEJ0mLMg14QIECA\nAAECBAgQILAAAhKkBZgEXSBAgAABAgQIECBAYDEEJEiLMQ96QYAAAQIECBAgQIDAAghIkBZg\nEnSBAAECBAgQIECAAIHFEJAgLcY86AUBAgQIECBAgAABAgsgIEFagEnQBQIECBAgQIAAAQIE\nFkNAgrQY86AXBAgQIECAAAECBAgsgIAEaQEmQRcIECBAgAABAgQIEFgMAQnSYsyDXhAgQIAA\nAQIECBAgsAACEqQFmARdIECAAAECBAgQIEBgMQQkSIsxD3pBgAABAgQIECBAgMACCEiQFmAS\ndIEAAQIECBAgQIAAgcUQ2HsxuqEXBOYmsE9aunVir7m1qCECBAgQ2EqBs9P4WxM/2sqLaJsA\nAQKbFZAgbVZKvWURqOTo9YnvL0uH9ZMAAQIrLnBAxn/7xBtW3MHwCRBYEAEJ0oJMhG7MTaC+\nOark6MC5taghAgQIENhKge+lcd/6b6WwtgkQGCTgd5AGcalMgAABAgQIECBAgMCYBSRIY55d\nYyNAgAABAgQIECBAYJCABGkQl8oECBAgQIAAAQIECIxZQII05tk1NgIECBAgQIAAAQIEBglI\nkAZxqUyAAAECBAgQIECAwJgFJEhjnl1jI0CAAAECBAgQIEBgkIAEaRCXygQIECBAgAABAgQI\njFlAgjTm2TU2AgQIECBAgAABAgQGCUiQBnGpTIAAAQIECBAgQIDAmAUkSGOeXWMjQIAAAQIE\nCBAgQGCQgARpEJfKBAgQIECAAAECBAiMWUCCNObZNTYCBAgQIECAAAECBAYJSJAGcalMgAAB\nAgQIECBAgMCYBSRIY55dYyNAgAABAgQIECBAYJCABGkQl8oECBAgQIAAAQIECIxZQII05tk1\nNgIECBAgQIAAAQIEBglIkAZxqUyAAAECBAgQIECAwJgFJEhjnl1jI0CAAAECBAgQIEBgkIAE\naRCXygQIECBAgAABAgQIjFlAgjTm2TU2AgQIECBAgAABAgQGCUiQBnGpTIAAAQIECBAgQIDA\nmAUkSGOeXWMjQIAAAQIECBAgQGCQgARpEJfKBAgQIECAAAECBAiMWUCCNObZNTYCBAgQIECA\nAAECBAYJSJAGcalMgAABAgQIECBAgMCYBSRIY55dYyNAgAABAgQIECBAYJCABGkQl8oECBAg\nQIAAAQIECIxZQII05tk1NgIECBAgQIAAAQIEBglIkAZxqUyAAAECBAgQIECAwJgFJEhjnl1j\nI0CAAAECBAgQIEBgkIAEaRCXygQIECBAgAABAgQIjFlAgjTm2TU2AgQIECBAgAABAgQGCUiQ\nBnGpTIAAAQIECBAgQIDAmAUkSGOeXWMjQIAAAQIECBAgQGCQgARpEJfKBAgQIECAAAECBAiM\nWUCCNObZNTYCBAgQIECAAAECBAYJSJAGcalMgAABAgQIECBAgMCYBSRIY55dYyNAgAABAgQI\nECBAYJCABGkQl8oECBAgQIAAAQIECIxZQII05tk1NgIECBAgQIAAAQIEBglIkAZxqUyAAAEC\nBAgQIECAwJgFJEhjnl1jI0CAAAECBAgQIEBgkIAEaRCXygQIECBAgAABAgQIjFlAgjTm2TU2\nAgQIECBAgAABAgQGCUiQBnGpTIAAAQIECBAgQIDAmAUkSGOeXWMjQIAAAQIECBAgQGCQgARp\nEJfKBAgQIECAAAECBAiMWUCCtGvXpTPB10ywGPMj3dgIECBAgAABAgQIbEJAUrBr1/+M00cT\nh2zCSxUCBAgQIECAAAECBEYssPeIx1ZDu07iwA3GeIXJ8aOz/PZk/bNZnj5ZtyBAgAABAgQI\nECBAgMAoBD6QUZw7Qzx8m0d/40kf993m647xcsdkUN8b48CMiQABAiMVqNfseu1WCBAgsBAC\nY/8G6RlRfnJi/8SrEvWjdNPl57LjZxNPTfxgcvDfJstZF0fkxJMSEp5ZBZ1HgAABAgQIECBA\nYAcEViFBOj6uL0zcLvHmxNMS9a1SVx6XlUqQHpn4erdzD5cn5/zbJvbZZDvXSr3ql0KAAAEC\nBAgQIECAAIEtF9gvV3hC4pzEGxPd7x1ldVclSJUwXbI2dqj4Ebv5wfsRu/lZaokAAQLbIeBH\n7LZD2TUIENi0wKr8FbszI1J/ra6+1fmpxImJeyYUAgQIECBAgAABAgQI/FhgVRKkbsBvzUr9\nZbs3Jf45UT96d4mEQoAAAQIECBAgQIAAgV1j/x2kvin+Rnb+auI1ifq9n4MSCgECBAgQIECA\nAAECBHat2jdI7ZQ/PxvXTfxL4u2JHyUUAgQIECBAgAABAgRWWGAVv0Fqp/vUbNy93WGdAAEC\nBAgQIECAAIHVFVjlb5BWd9aNnAABAgQIECBAgACBXgEJUi+LnQQIECBAgAABAgQIrKKABGkV\nZ92YCRAgQIAAAQIECBDoFZAg9bLYSYAAAQIECBAgQIDAKgpIkFZx1o2ZAAECBAgQIECAAIFe\nAQlSL4udBAgQIECAAAECBAisooAEaRVn3ZgJECBAgAABAgQIEOgVkCD1sthJgAABAgQIECBA\ngMAqCkiQVnHWjZkAAQIECBAgQIAAgV4BCVIvi50ECBAgQIAAAQIECKyigARpFWfdmAkQIECA\nAAECBAgQ6BWQIPWy2EmAAAECBAgQIECAwCoKSJBWcdaNmQABAgQIECBAgACBXgEJUi+LnQQI\nECBAgAABAgQIrKKABGkVZ92YCRAgQIAAAQIECBDoFZAg9bLYSYAAAQIECBAgQIDAKgpIkFZx\n1o2ZAAECBAgQIECAAIFeAQlSL4udBAgQIECAAAECBAisooAEaRVn3ZgJECBAgAABAgQIEOgV\nkCD1sthJgAABAgQIECBAgMAqCkiQVnHWjZkAAQIECBAgQIAAgV4BCVIvi50ECBAgQIAAAQIE\nCKyigARpFWfdmAkQIECAAAECBAgQ6BWQIPWy2EmAAAECBAgQIECAwCoKSJBWcdaNmQABAgQI\nECBAgACBXgEJUi+LnQQIECBAgAABAgQIrKKABGkVZ92YCRAgQIAAAQIECBDoFZAg9bLYSYAA\nAQIECBAgQIDAKgpIkFZx1o2ZAAECBAgQIECAAIFeAQlSL4udBAgQIECAAAECBAisooAEaRVn\n3ZgJECBAgAABAgQIEOgVkCD1sthJgAABAgQIECBAgMAqCkiQVnHWjZkAAQIECBAgQIAAgV4B\nCVIvi50ECBAgQIAAAQIECKyigARpFWfdmAkQIECAAAECBAgQ6BWQIPWy2EmAAAECBAgQIECA\nwCoKSJBWcdaNmQABAgQIECBAgACBXgEJUi+LnQQIECBAgAABAgQIrKKABGkVZ92YCRAgQIAA\nAQIECBDoFZAg9bLYSYAAAQIECBAgQIDAKgpIkFZx1o2ZAAECBAgQIECAAIFeAQlSL4udBAgQ\nIECAAAECBAisooAEaRVn3ZgJECBAgAABAgQIEOgVkCD1sthJgAABAgQIECBAgMAqCkiQVnHW\njZkAAQIECBAgQIAAgV4BCVIvi50ECBAgQIAAAQIECKyigARpFWfdmAkQIECAAAECBAgQ6BWQ\nIPWy2EmAAAECBAgQIECAwCoKSJBWcdaNmQABAgQIECBAgACBXgEJUi+LnQQIECBAgAABAgQI\nrKKABGkVZ92YCRAgQIAAAQIECBDoFZAg9bLYSYAAAQIECBAgQIDAKgpIkFZx1o2ZAAECBAgQ\nIECAAIFeAQlSL4udBAgQIECAAAECBAisooAEaRVn3ZgJECBAgAABAgQIEOgVkCD1sthJgAAB\nAgQIECBAgMAqCkiQVnHWjZkAAQIECBAgQIAAgV4BCVIvi50ECBAgQIAAAQIECKyigARpFWfd\nmAkQIECAAAECBAgQ6BWQIPWy2EmAAAECBAgQIECAwCoKSJBWcdaNmQABAgQIECBAgACBXgEJ\nUi+LnQQIECBAgAABAgQIrKKABGkVZ92YCRAgQIAAAQIECBDoFZAg9bLYSYAAAQIECBAgQIDA\nKgpIkFZx1o2ZAAECBAgQIECAAIFeAQlSL4udBAgQIECAAAECBAisooAEaRVn3ZgJECBAgAAB\nAgQIEOgVkCD1sthJgAABAgQIECBAgMAqCkiQVnHWjZkAAQIECBAgQIAAgV4BCVIvi50ECBAg\nQIAAAQIECKyigARpFWfdmAkQIECAAAECBAgQ6BWQIPWy2EmAAAECBAgQIECAwCoKSJBWcdaN\nmQABAgQIECBAgACBXgEJUi+LnQQIECBAgAABAgQIrKKABGkVZ92YCRAgQIAAAQIECBDoFZAg\n9bLYSYAAAQIECBAgQIDAKgpIkFZx1o2ZAAECBAgQIECAAIFeAQlSL4udBAgQIECAAAECBAis\nooAEaRVn3ZgJECBAgAABAgQIEOgVkCD1sthJgAABAgQIECBAgMAqCkiQVnHWjZkAAQIECBAg\nQIAAgV4BCVIvi50ECBAgQIAAAQIECKyigARpFWfdmAkQIECAAAECBAgQ6BWQIPWy2EmAAAEC\nBAgQIECAwCoKSJBWcdaNmQABAgQIECBAgACBXgEJUi+LnQQIECBAgAABAgQIrKKABGkVZ92Y\nCRAgQIAAAQIECBDoFZAg9bLYSYAAAQIECBAgQIDAKgpIkFZx1o2ZAAECBAgQIECAAIFeAQlS\nL4udBAgQIECAAAECBAisooAEaRVn3ZgJECBAgAABAgQIEOgVkCD1sthJgAABAgQIECBAgMAq\nCkiQVnHWjZkAAQIECBAgQIAAgV4BCVIvi50ECBAgQIAAAQIECKyigARpFWfdmAkQIECAAAEC\nBAgQ6BWQIPWy2EmAAAECBAgQIECAwCoKSJBWcdaNmQABAgQIECBAgACBXgEJUi+LnQQIECBA\ngAABAgQIrKKABGkVZ92YCRAgQIAAAQIECBDoFZAg9bLYSYAAAQIECBAgQIDAKgpIkFZx1o2Z\nAAECBAgQIECAAIFeAQlSL4udBAgQIECAAAECBAisooAEaRVn3ZgJECBAgAABAgQIEOgVkCD1\nsthJgAABAgQIECBAgMAqCkiQdu3aLxN/9cReq/gAMGYCBAgQIECAAAECBP5bYFUSpKtkyL+b\nuGviYpPhH5rlvyS+mvh44tuJxyT2SSgECBAgQIAAAQIECBAYpcCDMqpzmzgl65dOvGiy7xtZ\nvjbx+cl27d/ucuNcsPq473ZfeITXOyZj+t4Ix2VIBAgQGKtAvWbXa7dCgACBhRDYeyF6sXWd\nuH2afmLipMTfJ2q8D0u8K1E/VvfgxN8mfpDYP1F17p14duINiT0pV8rJm/026gp7ciHnEiBA\ngAABAgQIECBAYDMCz0yl7yQObCrfJev1bc1nE9O/d3TR7PtK4imJPSlXzcntt1abXfcN0p6o\nn3+ub5D23FALBAgQ2E4B3yBtp7ZrESCwocDYv0G6YQRen2h/5OqN2T4j8ZrE2Ym21DdJH0tc\nrd05w/qncs7lEpv9Bul6qfvKGa7jFAIECBAgQIAAAQIE5igw9gSpfr+okqT6YxTnTNy+n+Vf\nJH402W4Xh2Tj6MTz250zrn9pwHk/OaCuqgQIECBAgAABAgQIbJHA2P+KXf0eUSUfT0rUNzpd\nqd9Lemq3MVnWtz1/nag/+/3WyT4LAgQIECBAgAABAgQIjEag/vDC+xL1O0D1Y3WXSPSVu2Vn\nfeNT9So52p3YzuKv2M1P2+8gzc9SSwQIENgOAb+DtB3KrkGAwKYFxv4NUiVFN0s8JvGhRP3I\nXV+pP+JQfyChvlWqG+xKlBQCBAgQIECAAAECBAispED99brpv2i3nRC+QZqftm+Q5mepJQIE\nCGyHgG+QtkPZNQgQ2LTA2P9Iw2Yh6q/XKQQIECBAgAABAgQIrLjA2H/EbsWn1/AJECBAgAAB\nAgQIEBgiIEEaoqUuAQIECBAgQIAAAQKjFpAgjXp6DY4AAQIECBAgQIAAgSECEqQhWuoSIECA\nAAECBAgQIDBqAQnSqKfX4AgQIECAAAECBAgQGCIgQRqipS4BAgQIECBAgAABAqMWkCCNenoN\njgABAgQIECBAgACBIQISpCFa6hIgQIAAAQIECBAgMGoBCdKop9fgCBAgQIAAAQIECBAYIiBB\nGqKlLgECBAgQIECAAAECoxaQII16eg2OAAECBAgQIECAAIEhAhKkIVrqEiBAgAABAgQIECAw\nagEJ0qin1+AIECBAgAABAgQIEBgiIEEaoqUuAQIECBAgQIAAAQKjFpAgjXp6DY4AAQIECBAg\nQIAAgSECEqQhWuoSIECAAAECBAgQIDBqAQnSqKfX4AgQIECAAAECBAgQGCIgQRqipS4BAgQI\nECBAgAABAqMWkCCNenoNjgABAgQIECBAgACBIQISpCFa6hIgQIAAAQIECBAgMGoBCdKop9fg\nCBAgQIAAAQIECBAYIiBBGqKlLgECBAgQIECAAAECoxaQII16eg2OAAECBAgQIECAAIEhAhKk\nIVrqEiBAgAABAgQIECAwagEJ0qin1+AIECBAgAABAgQIEBgiIEEaoqUuAQIECBAgQIAAAQKj\nFpAgjXp6DY4AAQIECBAgQIAAgSECEqQhWuoSIECAAAECBAgQIDBqAQnSqKfX4AgQIECAAAEC\nBAgQGCIgQRqipS4BAgQIECBAgAABAqMWkCCNenoNjgABAgQIECBAgACBIQISpCFa6hIgQIAA\nAQIECBAgMGoBCdKop9fgCBAgQIAAAQIECBAYIiBBGqKlLgECBAgQIECAAAECoxaQII16eg2O\nAAECBAgQIECAAIEhAhKkIVrqEiBAgAABAgQIECAwagEJ0qin1+AIECBAgAABAgQIEBgiIEEa\noqUuAQIECBAgQIAAAQKjFpAgjXp6DY4AAQIECBAgQIAAgSECEqQhWuoSIECAAAECBAgQIDBq\nAQnSqKfX4AgQIECAAAECBAgQGCIgQRqipS4BAgQIECBAgAABAqMWkCCNenoNjgABAgQIECBA\ngACBIQISpCFa6hIgQIAAAQIECBAgMGoBCdKop9fgCBAgQIAAAQIECBAYIiBBGqKlLgECBAgQ\nIECAAAECoxaQII16eg2OAAECBAgQIECAAIEhAhKkIVrqEiBAgAABAgQIECAwagEJ0qin1+AI\nECBAgAABAgQIEBgiIEEaoqUuAQIECBAgQIAAAQKjFpAgjXp6DY4AAQIECBAgQIAAgSECEqQh\nWuoSIECAAAECBAgQIDBqAQnSqKfX4AgQIECAAAECBAgQGCIgQRqipS4BAgQIECBAgAABAqMW\nkCCNenoNjgABAgQIECBAgACBIQISpCFa6hIgQIAAAQIECBAgMGoBCdKop9fgCBAgQIAAAQIE\nCBAYIiBBGqKlLgECBAgQIECAAAECoxaQII16eg2OAAECBAgQIECAAIEhAhKkIVrqEiBAgAAB\nAgQIECAwagEJ0qin1+AIECBAgAABAgQIEBgiIEEaoqUuAQIECBAgQIAAAQKjFpAgjXp6DY4A\nAQIECBAgQIAAgSECEqQhWuoSIECAAAECBAgQIDBqAQnSqKfX4AgQIECAAAECBAgQGCIgQRqi\npS4BAgQIECBAgAABAqMWkCCNenoNjgABAgQIECBAgACBIQISpCFa6hIgQIAAAQIECBAgMGoB\nCdKop9fgCBAgQIAAAQIECBAYIiBBGqKlLgECBAgQIECAAAECoxaQII16eg2OAAECBAgQIECA\nAIEhAhKkIVrqEiBAgAABAgQIECAwagEJ0qin1+AIECBAgAABAgQIEBgiIEEaoqUuAQIECBAg\nQIAAAQKjFpAgjXp6DY4AAQIECBAgQIAAgSECEqQhWuoSIECAAAECBAgQIDBqAQnSqKfX4AgQ\nIECAAAECBAgQGCIgQRqipS4BAgQIECBAgAABAqMWkCCNenoNjgABAgQIECBAgACBIQISpCFa\n6hIgQIAAAQIECBAgMGoBCdKop9fgCBAgQIAAAQIECBAYIjA0QTo8jV9qnQtUe7dMHLVOHYcI\nECBAgAABAgQIECCwkAJDE6Q3ZxR/sM5I9suxtyd+Z506DhEgQIAAAQIECBAgQGAhBfbeoFdX\ny/FbNHUunvXrJe7X7OtWK9nqvjn6erfTkgABAgQIECBAgAABAmMROCgD+Xzi3AHx3dS9fkLZ\nvMCNU7WM9938KWquIXBM9n9vjWN2EyBAgMDiCdRrdr12KwQIEFgIgY2+Qfp2ennHxLUmvX1S\nlscnXj7ZbhfnZOP7ifcnTmsPWCdAgAABAgQIECBAgMAyCGyUINUYKuGpqHKDxDsTL6sNhQAB\nAgQIECBAgAABAmMS2EyC1I73j9sN6wQIECBAgAABAgQIEBiTwNAEqcZ+q0T9rPA1E5dM9JVn\nZ2eFQoAAAQIECBAgQIAAgaURGJog/UpG9s+J7rz6wwJ95U19O+0jQIAAAQIECBAgQIDAIgt0\nic5m+/jQVDwr8cDEvyY+k1AIECBAgAABAgQIECAwCoEhCdIBGfF1Ei9NPH0UozcIAgQIECBA\ngAABAgQINAL1j7tutpyRij9IfGyzJ6hHgAABAgQIECBAgACBZRIYkiDVv3P01sSdEkO+eVom\nD30lQIAAAQIECBAgQGCFBTZKdA6OTVvnYdmufwfpNYknJz6RqH9MdrrUPxhb3zYpBAgQIECA\nAAECBAgQGI3ABzKS+kt1Q+PhoxHYnoHceGK87/ZcbtRXqT9B/71Rj9DgCBAgMC6Bes2u126F\nAAECCyHQfjvU16H6kbqT+w5ssM/vKW0A5DABAgQIECBAgAABAosnsFGC9CeL12U9IkCAAAEC\nBAgQIECAwNYIDPkjDVvTA60SIECAAAECBAgQIEBgQQQ2+gZpupsvz47LT++c2j4z299K1I/m\nvSTxroRCgAABAgQIECBAgACBhRcYmiAdmBH9VOLik5HVX7D7buJyib5vo34/+++d+OeEQoAA\nAQIECBAgQIAAgYUW6Etq1uvwQ3Owkqp/Slw5UX8G/AqJ/ROVCH018YTEAYmbJz6aqLrXTCgE\nCBAgQIAAAQIECBAYlcB7Mpo3JnavMao7Z3/9SfDrTI5fcbJ9/8m2Rb+AP/Pd7zLLXn/mexY1\n5xAgQGDnBPyZ752zd2UCBHoEhnyDdNGc/zOJVyQqCeorr8/OcxI3mxw8PctPJioBWISy0Xj3\nSicvkahvxBQCBAgQIECAAAECBFZMYKOEoeU4IxvfSNS3QmuV+nG7arP9hzrr95Xqx/J2qlw2\nF35R4uuJ+p2ptyVumugrR2Zn1Xtw30H7CBAgQIAAAQIECBAYt8CQBKm+NXpD4o8SR/ew1B9w\neNpk/39Mlj+XZf0Bh49Ntrd7cbFc8L2JeyTq26H6RuuWiXcmHpNQCBAgQIAAAQIECBAgMLPA\nUTnz84mzE69OPDbx8MSzEl9OVBL16ESVeyWq3vcTlSTtRHlkLlp9ekSi+8t718/6BxO1/0mJ\nttT4av/D253bsO53kOaH7HeQ5mepJQIECGyHgN9B2g5l1yBAYNMCQ3/07QNpuRKM4xK3T9wx\n0ZUvZOUPEk+f7Lhulu9PPDDxxcm+7V7cJBesxK2StrMmF39flrdIVIL3oET1+/GJeZb6Zq6+\nPdt3k436K3+bhFKNAAECBAgQIECAwFYKDE2Qqi+VUNwusV/iOolDE/WPwn4i8cNEV/68W9nB\nZf1O1PGJLjnquvKtrFRyV8cel/hM4sWJeZUrp6GXJjabIA35Ucd59VE7BAgQIECAAAECBAhM\nCcySIHVNnJmV+v2eRS6V+Nw2UX+V7oypjtYfbKgfx3p34nmJzyXaPy6RzZlLJYyHDDi7fsTu\nhAH1VSVAgAABAgQIECBAYAsENvrmov7k9WUSXSJ1qcl27Vsv6g82LEJ5SzpR/5jtXycu39Oh\nSorq27DvJF6buENCIUCAAAECBAgQIECAQK9A/c5R/dGCG0yO1jcjtb1RbPcfOZh070KL+ubo\npEl/6w9G3PNCNc7fUX+cof6EeTeuR5y/e9v+7480zI/aH2mYn6WWCBAgsB0C/kjDdii7BgEC\nmxbovhla64Q350D9Q6+VPFR5XaK+OdqofGSjCtt0vH6s7oaJxyTunGh/RyqbPy6VCFYSWH+m\n/PY/3muFAAECBAgQIECAAAECIxbY6EcKa+hHJ+ofjN3O4huk+Wn7Bml+lloiQIDAdgj4Bmk7\nlF2DAIFNC2z0DdJ6DV00B6+aOCBR/zBs/d5RvcgtcjlnE51b9D88sYkhqEKAAAECBAgQIECA\nwCwCm/lGZbrdK2XHixOVDH0o8YRElX9KPDpRf/5bIUCAAAECBAgQIECAwNIJDP0G6dCMsP7x\n1/prdh9N1LdHXdmdlYcl7pKo3+eZ/rPa2aUQIECAAAECBAgQIEBgcQWGfoP01AylfrTu5olr\nJSpZ6srdslJ/DOGnE8d2Oy0JECBAgAABAgQIECCwLAJDE6TbZGB/l3hXzwDrz2g/MvGtxI16\njttFgAABAgQIECBAgACBhRYYkiAdlJHUPxz78XVG9KMcO2lSb51qDhEgQIAAAQIECBAgQGDx\nBIYkSN9O97+YOHqdYVQSVT9i97F16jhEgAABAgQIECBAgACBhRQYkiDVAOofiv3txB8kLpZo\nyyHZOC5xcOJN7QHrBAgQIECAAAECBAgQGKNAJUGnJc5N1O8a1TdKn0u8IvG1RO3LO8m1AABA\nAElEQVR/TkIZJuAfih3mtV7tY3Kw/gS9QoAAAQLLIVCv2fXarRAgQGBpBX4iPX9G4sxEJURd\nVIL0h4m9EsowAQnSMK/1akuQ1tNxjAABAosnIEFavDnRIwIrLTD030EqrK8mfjfx+4nDEpdL\nnJr4fEIhQIAAAQIECBAgQIDA0grMkiB1g60/633yJLp9lgQIECBAgAABAgQIEFhagY0SpJdm\nZNecYXR/l3OePsN5TiFAgAABAgQIECBAgMCOCWyUIB2Rnl1rht5deoZznEKAAAECBAgQIECA\nAIEdFdgoQbp5etf3p8A/k/0fTtxhjd6fscZ+uwkQIECAAAECBAgQILCwAhslSN9Zo+f1l+vO\nStSf+lYIECBAgAABAgQIECAwCoG+b4dGMTCDIECAAAECBAgQIECAwFCBjb5BGtqe+gQIECBA\nYIwCN8igbjPGgS3AmOpe5FcSRy5AX8bWhdMzoBeMbVDGQ2CrBSRIWy2sfQIECBAYg0D92393\nTHx6DINZsDF8O/25XmKWPwq1YENZqO4ckt5cMSFBWqhp0ZllEJAgLcMs6SMBAgQI7LTA7nTg\nXxP32emOuD6BTQock3ov2WRd1QgQaAT8DlKDYZUAAQIECBAgQIAAgdUW2OgbpP8Rnsv1EO2f\nfYclHt5zrHa9PfGOWlEIECBAgAABAgQIECCwLAIbJUi/l4Fcd43BXDn7H7HGsdovQVoDx24C\nBAgQIECAAAECBBZTYKME6VHp9iVn6Pr7ZjjHKQQIECBAgAABAgQIENhRgY0SpJfuaO9cnAAB\nAgQIECBAgAABAtsosFGCtI1dcanNCLztyrfa/zKXv+yTzt2968DN1F+1Oqf94LtX+NB3v7bv\nHS992PNWbezGS2CrBHafs/sNP/3u//fCIe2feNO73WD3rn3+YNeuvFqNoPz7N790kxrGjQ65\nrNeWRZ3Pc3edc9ZZux571Hte9IkhXTzxJr/6e7t377rRkHOWoa73w2WYpcXv4yyv/4s/qo17\nKEHa2GihalzyMpc+dNfu3b+3e9e5Lznn3F3fXajOLUBnzjn33HPOPvfcXfnv7AXoji4QWHqB\n/KnTo3ft3nWpDGRQgrT73H1uk5vOO+R16tVLj5AB5HXl3BqH15bFnc3du3ffY++LnPP29HBQ\ngnSR3bvvl+nNQ3XXhxd3dMN75v1wuJkzLigw6+v/BVtZzi0J0nLO265dZ5zzP49830tOW9bu\nb2G/6999uOnDPvkf993Ca2iawMoInHTTezw+XwL91IwD/vSRJ7xoLM/F504MxjKeGad0cU87\n6Sb3vPV5WewMXcyHji+69gkvfuIMpy7yKd4PF3l2lqBve/j6vwQjXLuLF1n7kCMECBAgQIAA\nAQIECBBYLQEJ0mrNt9ESIECAAAECBAgQILCOgARpHRyHCBAgQIAAAQIECBBYLQEJ0mrNt9ES\nIECAAAECBAgQILCOgARpHRyHCBAgQIAAAQIECBBYLQF/xW615vt/ZLj3G/mQD8749ku8Z+Tj\nrD9jfp/Ex0c+TsMjQIAAAQIECGyrgARpW7l3/GI3Tg/qW8MX7XhPtq4DlRxdI/GhrbvEQrT8\nmPTiiIQEaSGmQycIECBAgACBsQhIkMYyk5sfR/1DeI/ffHU1F1TgEQvaL90iQIAAAQIECCy1\ngN9BWurp03kCBAgQIECAAAECBOYpIEGap6a2CBAgQIAAAQIECBBYagEJ0lJPn84TIECAAAEC\nBAgQIDBPAQnSPDW1RYAAAQIECBAgQIDAUgtIkJZ6+nSeAAECBAgQIECAAIF5CkiQ5qmpLQIE\nCBAgQIAAAQIEllpAgrTU06fzBAgQIECAAAECBAjMU0CCNE9NbREgQIAAAQIECBAgsNQCEqSl\nnj6dJ0CAAAECBAgQIEBgngISpHlqaosAAQIECBAgQIAAgaUWkCAt9fTpPAECBAgQIECAAAEC\n8xSQIM1TU1sECBAgQIAAAQIECCy1gARpqadP5wkQIECAAAECBAgQmKeABGmemtoiQIAAAQIE\nCBAgQGCpBSRISz19Ok+AAAECBAgQIECAwDwFJEjz1NQWAQIECBAgQIAAAQJLLSBBWurp03kC\nBAgQIECAAAECBOYpIEGap6a2CBAgQIAAAQIECBBYagEJ0lJPn84TIECAAAECBAgQIDBPAQnS\nPDW1RYAAAQIECBAgQIDAUgtIkJZ6+nSeAAECBAgQIECAAIF5CkiQ5qmpLQIECBAgQIAAAQIE\nllpAgrTU06fzBAgQIECAAAECBAjMU0CCNE9NbREgQIAAAQIECBAgsNQCEqSlnj6dJ0CAAAEC\nBAgQIEBgngISpHlqaosAAQIECBAgQIAAgaUWkCAt9fTpPAECBAgQIECAAAEC8xSQIM1TU1sE\nCBAgQIAAAQIECCy1gARpqadP5wkQIECAAAECBAgQmKeABGmemtoiQIAAAQIECBAgQGCpBSRI\nSz19Ok+AAAECBAgQIECAwDwFJEjz1NQWAQIECBAgQIAAAQJLLSBBWurp03kCBAgQIECAAAEC\nBOYpIEGap6a2CBAgQIAAAQIECBBYagEJ0lJPn84TIECAAAECBAgQIDBPAQnSPDW1RYAAAQIE\nCBAgQIDAUgtIkJZ6+nSeAAECBAgQIECAAIF5CkiQ5qmpLQIECBAgQIAAAQIEllpAgrTU06fz\nBAgQIECAAAECBAjMU0CCNE9NbREgQIAAAQIECBAgsNQCEqSlnj6dJ0CAAAECBAgQIEBgngIS\npHlqaosAAQIECBAgQIAAgaUWkCAt9fTpPAECBAgQIECAAAEC8xSQIM1TU1sECBAgQIAAAQIE\nCCy1gARpqadP5wkQIECAAAECBAgQmKeABGmemtoiQIAAAQIECBAgQGCpBSRISz19Ok+AAAEC\nBAgQIECAwDwFJEjz1NQWAQIECBAgQIAAAQJLLSBBWurp03kCBAgQIECAAAECBOYpIEGap6a2\nCBAgQIAAAQIECBBYagEJ0lJPn84TIECAAAECBAgQIDBPAQnSPDW1RYAAAQIECBAgQIDAUgtI\nkJZ6+nSeAAECBAgQIECAAIF5CkiQ5qmpLQIECBAgQIAAAQIEllpAgrTU06fzBAgQIECAAAEC\nBAjMU0CCNE9NbREgQIAAAQIECBAgsNQCEqSlnj6dJ0CAAAECBAgQIEBgngISpHlqaosAAQIE\nCBAgQIAAgaUWkCAt9fTpPAECBAgQIECAAAEC8xSQIM1TU1sECBAgQIAAAQIECCy1gARpqadP\n5wkQIECAAAECBAgQmKeABGmemtoiQIAAAQIECBAgQGCpBSRISz19Ok+AAAECBAgQIECAwDwF\nJEjz1NQWAQIECBAgQIAAAQJLLSBBWurp03kCBAgQIECAAAECBOYpIEGap6a2CBAgQIAAAQIE\nCBBYagEJ0lJPn84TIECAAAECBAgQIDBPAQnSPDW1RYAAAQIECBAgQIDAUgtIkJZ6+nSeAAEC\nBAgQIECAAIF5CkiQ5qmpLQIECBAgQIAAAQIEllpAgrTU06fzBAgQIECAAAECBAjMU2DveTam\nLQIECBAgQIDAigjUPdStE3st6Hivn37VB+G/uKD9q259KfH+Be6frq2owNgTpPtnXg+aYW5P\nyDnvnuE8pxAgQIAAAQKrIXCbDPP1iR8s6HB3p1/7Jl66oP2rxPKMxMEL2j/dWmGBsSdID8jc\nHjXD/D4i5+xJgrR/zv+tRL0wbaZceTOV1CFAgAABAgQWRqBu8L+fOHBherRcHTkm3X3JcnVZ\nb1dFYOwJUn2t/LLEjROvTDw7sZny8c1UWqfOT+TYfRP7rFOnPXRAu2GdAAECBAgQIECAAIGd\nERh7gvTFsP5c4h2JSpYemfivxFaX03OBowdcpBK4+rE+hQABAgQIECBAgACBHRRYhb9id2Z8\n7zcx/tsdtHZpAgQIECBAgAABAgQWXGAVEqSagpMSD03UH2w4MqEQIECAAAECBAgQIEDgQgKr\nkiDVwJ+YuE7ixNpQCBAgQIAAAQIECBAgMC2wSgnS9NhtEyBAgAABAgQIECBA4AICEqQLcNgg\nQIAAAQIECBAgQGCVBSRIqzz7xk6AAAECBAgQIECAwAUEJEgX4LBBgAABAgQIECBAgMAqC0iQ\nVnn2jZ0AAQIECBAgQIAAgQsISJAuwGGDAAECBAgQIECAAIFVFpAgrfLsGzsBAgQIECBAgAAB\nAhcQ2PsCWzYIECBAgMDOC/xiunD5ne/GBXpw1cnW/S6wd+c3Pp8uvG7nu6EHBAgQGI+ABGk8\nc2kkGwscnio33LjaUtTYK728ZeLgpejt+p38Qg6/ff0qjq6YwIsz3u8kvr9A4+6eaw9ZoD4d\nkL5cfBIL1C1dIUCAwHILSJCWe/70fpjAX6T6PRPfHHbaQtbenV79VuKshezd5ju1f6ruk6ib\nPIVAJ1A//v3bidd2Oyx7BY7J3pf0HrGTAAECBGYWkCDNTOfEJRSom676ZPo+S9j3sXbZDd5Y\nZ9a4CBAgQIDAkgr4Iw1LOnG6TYAAAQIECBAgQIDA/AUkSPM31SIBAgQIECBAgAABAksqIEFa\n0onTbQIECBAgQIAAAQIE5i8gQZq/qRYJECBAgAABAgQIEFhSAQnSkk6cbhMgQIAAAQIECBAg\nMH8BCdL8TbVIgAABAgQIECBAgMCSCkiQlnTidJsAAQIECBAgQIAAgfkLSJDmb6pFAgQIECBA\ngAABAgSWVECCtKQTp9sECBAgQIAAAQIECMxfQII0f1MtEiBAgAABAgQIECCwpAISpCWdON0m\nQIAAAQIECBAgQGD+AhKk+ZtqkQABAgQIECBAgACBJRWQIC3pxOk2AQIECBAgQIAAAQLzF5Ag\nzd9UiwQIECBAgAABAgQILKmABGlJJ063CRAgQIAAAQIECBCYv4AEaf6mWiRAgAABAgQIECBA\nYEkFJEhLOnG6TYAAAQIECBAgQIDA/AUkSPM31SIBAgQIECBAgAABAksqsPeS9lu3CRAYLnDZ\nnHLk8NO29Iyj0np9UHPbLb3K8MbPzinvTNRSIUCAAAECBFZIQIK0QpNtqCsv8OgI3C+xaDf9\ne6VPr1uw2anXxl9IvHHB+qU7BAgQIECAwBYLSJC2GFjzBBZIYJ/05bjEfRaoT4vale+lY14f\nF3V29IsAAQIECGyhgN9B2kJcTRMgQIAAAQIECBAgsFwCEqTlmi+9JUCAAAECBAgQIEBgCwUk\nSFuIq2kCBAgQIECAAAECBJZLQIK0XPOltwQIECBAgAABAgQIbKGABGkLcTVNgAABAgQIECBA\ngMByCUiQlmu+9JYAAQIECBAgQIAAgS0UkCBtIa6mCRAgQIAAAQIECBBYLgEJ0nLNl94SIECA\nAAECBAgQILCFAhKkLcTVNAECBAgQIECAAAECyyUgQVqu+dJbAgQIECBAgAABAgS2UECCtIW4\nmiZAgAABAgQIECBAYLkEJEjLNV96S4AAAQIECBAgQIDAFgpIkLYQV9MECBAgQIAAAQIECCyX\ngARpueZLbwkQIECAAAECBAgQ2EIBCdIW4mqaAAECBAgQIECAAIHlEpAgLdd86S0BAgQIECBA\ngAABAlsoIEHaQlxNEyBAgAABAgQIECCwXAISpOWaL70lQIAAAQIECBAgQGALBSRIW4iraQIE\nCBAgQIAAAQIElktAgrRc86W3BAgQIECAAAECBAhsoYAEaQtxNU2AAAECBAgQIECAwHIJSJCW\na770lgABAgQIECBAgACBLRSQIG0hrqYJECBAgAABAgQIEFguAQnScs2X3hIgQIAAAQIECBAg\nsIUCEqQtxNU0AQIECBAgQIAAAQLLJSBBWq750lsCBAgQIECAAAECBLZQQIK0hbiaJkCAAAEC\nBAgQIEBguQT2Xq7u6i0BAisi8MqM88o7ONb9c+2nJb6zQ304O9f99cRHd+j6LkuAAAECBFZW\nQIK0slNv4AQWWuC26d3zEx/ZoV5eO9f9ZOLMHbr+43PdqyQkSDs0AS5LgAABAqsrIEFa3bk3\ncgKLLvCqdPC1i97JLerfY7eoXc0SIECAAAECGwj4HaQNgBwmQIAAAQIECBAgQGB1BHyDtDpz\nbaQECBAgQIDAagockmFfbcGGXv2pD+qPXrB+nZX+fCBx7oL1S3e2UUCCtI3YLkWAAAECBAgQ\n2AGBx+Wav7MD193MJd+zmUrbXOd2ud6bt/maLrdAAhKkBZoMXSFAgAABAgQIbIHAfmnzBYlF\nS5J2p0+L9k3NV9KnfRPKCgtIkFZ48g2dAAECBAgQWBmB+tGx76/MaA2UwB4I+CMNe4DnVAIE\nCBAgQIAAAQIExiUgQRrXfBoNAQIECBAgQIAAAQJ7ICBB2gM8pxIgQIAAAQIECBAgMC4Bv4M0\nrvk0GgIECBDYPoH6BfPrJnbqvfSquXZ90HmDxE6Vr+XCp+zUxV2XAAECWyGwUy/qWzEWbRIg\nQIAAge0UuE0u9qbtvOAa13rvGvu3Y/c3cpFLbseFXIMAAQLbJSBB2i5p1yFAgACBsQnUnwKu\nvwp2mR0c2E7+meTbZ9zH7eDYXZoAAQJbIiBB2hJWjRIgQIDACgl8b4XG2g71B+2GdQIECIxF\nwB9pGMtMGgcBAgQIECBAgAABAnssIEHaY0INECBAgAABAgQIECAwFgEJ0lhm0jgIECBAgAAB\nAgQIENhjAQnSHhNqgAABAgQIECBAgACBsQhIkMYyk8ZBgAABAgQIECBAgMAeC0iQ9phQAwQI\nECBAgAABAgQIjEXAn/key0waBwECOyFwvVz0zYl5v5ZeNG2+JHF2Yp7liWnskfNsUFsECBAg\nQGBsAvN+Ux+bj/EQIEBgPYHL5eABibuvV2mGY4fnnM8k5pkg/XHau8oMfXEKAQIECBBYKQEJ\n0kpNt8ESILAFApXEvHoL2p13k3ebd4PaI0CAwBYIXDZtHrIF7W62yd2peIXENTZ7wpzr1XvK\np+bcpuYGCkiQBoKpToAAAQIECBAgsGUCJ6XlS21Z65tr+O83V23Lat06Lb9ty1rX8IYCEqQN\niVQgQIAAAQIECBDYJoH6HczfSLxlm643fZn9s+OM6Z3buH1yrlUGyg4KSJB2EN+lCRAgQIAA\nAQIELiTwjez54oX2rsaOc1djmIs9Sn/me7HnR+8IECBAgAABAgQIENhGAQnSNmK7FAECBAgQ\nIECAAAECiy0gQVrs+dE7AgQIECBAgAABAgS2UUCCtI3YLkWAAAECBAgQIECAwGIL+CMNiz0/\nekeAAAECBOYh8NA08sB5NNS0sW/W6y9+fanZN4/V+ndgjkl8YB6NaYMAAQJDBSRIQ8XUJ0CA\nAAECyydw9XT5o4mnz7HrdQ9xeOITc2yzmjoucfmEBKk0FAIEtl1AgrTt5C5IgAABAgR2RODU\nXPXFO3LlYRd9zrDqahPYEYH6x2wflNhrzlffJ+0dm7j5nNt9bdo7fs5tjrY5CdJop3bpB1b/\nSNq8/6G0+nGQKpc8fzG3//8gLVUoBAgQIECAwGoI3DDDfEjiTXMe7hfS3uUSB8+x3SMnbUqQ\nNokqQdoklGrbLvDpXPHQLbrqvebcbr2Y1Y+DKAQIECBAgMDqCJyRod5+CYb73PRx9xL0c2G6\nKEFamKnQkSmB+uTk9xPz/LSj+0Zqnt/21Ffgj5/qu00CBAgQIECAAIElFZAgLenErUi3T804\nT1zwsf7kgvdP9wgQIECAAAECBAYI+HeQBmCpSoAAAQIECBAgQIDAuAUkSOOeX6MjQIAAAQIE\nCBAgQGCAgARpAJaqBAgQIECAAAECBAiMW0CCNO75NToCBAgQIECAAAECBAYISJAGYKlKgAAB\nAgQIECBAgMC4BSRI455foyNAgAABAgQIECBAYICABGkAlqoECBAgQIAAAQIECIxbQII07vk1\nOgIECBAgQIAAAQIEBghIkAZgqUqAAAECBAgQIECAwLgF9h738HpHd4nsPTixX+K7iW8mvpdQ\nCBAgQIAAAQIECBBYcYFV+QbpZzLPz0p8OfH1xCmJjyVOT1SS9OnEMxOXTigECBAgQIAAAQIE\nCKyowCp8g/SXmdtHTub3tCzfnagkqRKj+ibpkokrJX4ncbfEHyVemFAIECBAgAABAgQIEFgx\ngbEnSHfPfFZy9PrEwxLvT/SV3dl588QTEy9InJo4IaEQIECAAAECBAgQILBCAmNPkO6SuTw5\nUcsz15nXc3PsnYmfT3wm8ZuJPUmQ6pupRyT2SWymXHYzldQhQIAAAQIECBAgQGBrBcaeIF0n\nfPUjdeslR63wN7LxocQV2p0zrFdidJnEvps8t+qdmPjhJuvPWu3Vs564A+c9Ldcsk0Uv1cfq\n6zIU8z//WTL/8zetFj3/5+/q+T9/U8//+ZtWi57/83ddpuf//Ec/Q4tjT5C+EJPrJyph+dEm\nfOov3FVSVX+wYU/KV3Pyr+9JA1t07ku3qN2taPbBW9HoFrT52bS5LH01//N/AJj/+ZtWi8vy\nnDL/5n9ZHqte/+f/WPX8n7/pwrQ49r9i97xIXzNRLww3XEe9+x2k+l2lAxKvWKeuQwQIECBA\ngAABAgQIjFRg7N8gvTDzVj/q9ujEnRKfS5ye+Fri24mDEvVX7A5LHJo4K/GniX9LKAQIECBA\ngAABAgQIrJjA2BOk+uMLT068MvGYxC0S098kfT/7Pp94YuJvEvWVqUKAAAECBAgQIECAwAoK\njD1B6qa0/pLdvSYb9a1R/ZW5/RP1D8d+K6EQIECAAAECBAgQIEBg16okSO1U14/WVSgECBAg\nQIAAAQIECBC4gMDY/0jDBQZrgwABAgQIECBAgAABAusJSJDW03GMAAECBAgQIECAAIGVEpAg\nrdR0GywBAgQIECBAgAABAusJSJDW03GMAAECBAgQIECAAIGVEpAgrdR0GywBAgQIECBAgAAB\nAusJSJDW03GMAAECBAgQIECAAIGVEpAgrdR0GywBAgQIECBAgAABAusJSJDW03GMAAECBAgQ\nIECAAIGVEpAgrdR0GywBAgQIECBAgAABAusJSJDW03GMAAECBAgQIECAAIGVEth7pUa72oPd\nneFfI/H1xJcXiOLA9OXQxCUSlbB/K/GVxNcSi1iqnwcn9kt8N/HNxPcSi1zK+FqJgxIfT5ye\nWOSybzr3U4lPJRbZdq/07yqJrybqcbBTpR6LRyU+nai+LHtZlPk/PJAXT3xwyUGX6fm/KM+p\nzU55PfcOS9Rz7+zNnrTF9cpwo75cLHX2SXxji/uyUfPe/zcScnzHBHyDtGP0237h/XPFjyb+\nYtuv3H/Bm2f3vyXqxvKTifck/j1RfaybvHrDeULioomdLj+TDjwrUYllJZinJD6WqESjkqTq\n6zMTl07sRPmJXPSFid+Yunh9AFLzXclm+b458dnEWxLXSexk+dVc/GmJByeuOulIvWm/KFHz\n/4HEtxPHJSoh3alymVz4GYnnNB2o/vzfRCVv9dgt3w8l/jSxE+XyuWg9d6oPN96JDsxwzWWY\n/4dnXPU4rOd2JW2LWpbt+b8Mz6l2rutDkN9N3DVRr1FVDk38S6Jeqz6eqNeqxyQq6dipUq//\nJyXOTHwq8bjEWu+f/5Rj9V62U8X7/07Ju+6mBeoGSll+gUtmCPXt0HqlPumqcrnEjc9bO/9/\n727Wt2v1/rnQ3yUqufiPRN0gXzZRL+zPSlQfKympG85jEvdK7NSnuH+Zaz8yUeW0RHnVG0v1\nvW6Uy/5Kid9J3C3xR4lKVrazHJCLldGXEvXG15X/k5UHJb6VeHWivpm7ZuLnEm9L3CBRyd52\nlvpQ5uWJOzcX/fOsXzfx/yXukXhrot7g6zFw70TdoNwicW5iO0vdeL4/cYXEOycXrhug6t/1\nEuck3p6om6SfTTwhUY/l30/Use0uh+aCb088dhL1fFq0skzz39nVc7ueK7V8X7dzgZbL9Pxf\ntudUvX4+qZnrU7Nez/WnJOr1vj7ge13iqMRDE/X8r+R/u0u97/zN5KIfy7I+NPmzxF0Tv5T4\naGJRivf/RZkJ/SAwJoEP/uzdr3LSTe957knXv/uVmnHdJet18zhLNM1sy+pNJv18apbdp1t1\n03TLRCUfL0vUjwjsTtwqcXLiB4krJra73D0XLNN6A6wb4rVK9fUWifcmqn6NcTtLPRbquk9u\nLnqNrJ+d+HCiEs623DQb30kc3+7cpvX/ketUX9+UuFPiAYma4/om5pzEryTa8hfZqPqVAG53\nqRujunYlcPtNLl43TLXv7xOt677ZrhuUOna7xHaWSiDrupUc16fatf7xRN2oVUK3R+Wkm97j\n8Sfd5J6vGdrIh29yzwfntaq+2WrLMs3/89Lxsqwbuvpw4axEfbBzRGKRyjI9/7f0OZXH6akf\nvtE9jh06OXmc/udJN7nHn06dd/ts12tSvYZWAvInifq2uJ5b9bioBKR7D9s/68dN9v9ClttZ\nDs7Fvp2oxOjoyYWrPw9P1HvAFxNXT7TlFdmoMWx38f4/f/GfTpP12J0lNuzNrK//GzasAoF5\nC6yRIF0+1zkhUS94X048PvG/p+KJ2a7j9Qloeyyb21oem6t9MFFJxXSpG4/q422bA1fOer3I\nP7rZt12rL8iFPp3obo43uu4lUqHeqJ6xUcU5H++7QTo21yjLX1zjWvXmXjd89enzdpbX5mJ1\nk1Fv4F25c1aqr//a7WiWlTyflqgb0+0u784FT05UH7rysqx8I9GXeHR9fVxXeZuWXYLUJciV\nTJZxmX4+8YhEvUbMVGZ9g1wjQVqm+e8SpLoBvWzi5YkyrZvmGscdEu1jI5s7Upbp+b+lz6k5\nJ0jPzGzWB0kHNrPafRj52ezbq9lfq5UsfSXxlNrYxlIfeNXjspK46XKP7Phhol7H6jHclZ1K\nkLz/dzMwv+Uvpama/1liw17M+vq/YcNLUGHvJeijLm4sUDdBN088NPGXiRslfjNxSqIr9eJd\nn4D9W+LPu507sLxdrlkJUj2Zp0slI99LVIL05snBU7P8r8RPT7a3c3GdXKze0M/c5EW/kXof\nSlxhk/W3stpBk8ZPXOMi78/+eoO/ZqLWt6sclgu9NXFGc8G3ZP2cxEeafd1q7a/H8ZW6Hdu4\nrNfHeuxVH7pydlYqYftRt6NZVr16Ll6t2bcTq/+ci74tUYla3SA9PPGwxMsTr0zUJ+IfS2z2\ncZ2qcyvLNP/toL+Ujbsmfi1R32r+4iROzvIfE+9JnJT4QmIRyqI+/5fpOXXDTOTrE/We1JU3\nZqVeu+ob1XotaMsPslHPq+1+/nfvN29tOzNZf3GW9SHYcxKvTtwq8f3EThXv//OXr9f030nU\nh4j1HlTr30woeyiwCJ9+7eEQnD4RqBfrRyVumqhPiioJuW9i0Ur3+xp9yfnh6Wz7aV31vW7i\nfzJRbz7bXepm5/qJfTZ54Uuk3nUS9Sa506W+Kaxy5PmLC/2/bvCqbPcN3Wm55m0S7TdI1Zd6\nLbpWYrrU4+R6iVOnD2zDdhnWG/qlmmu9M+tXT1y62detXi4rN0jUc2+nyxfTgWMTl088MFGP\nybsn/inxgUTd9H00sd1lmea/z+aF2VmP05snjkscmnhM4k2Jzyfqm7u6QdnpsqjP/2V6TtUH\nXjdM1GtTVyq5qAS577lzSPYfnajHwXaWz0wudqc1Lvrc7K8PSapvL0jUe+pOFe//WyP/D2m2\nXt/3S9wx8apNRqopawm0T/y16ti/XALvSXd/JvH/Ev+YqK/SL51YlFI3EtdI1I8vtMlQ3YQ+\nO1HlnecvzvsjCHXzcZnECZN927moH7Gpb1hemqg3yrXK7hyoG6bXJ+rTujLfifLbuejbEo9P\nXCnxycRDEm0yUs/5+lahbp7r+HYnSK/MNSuRfG3ironq31MSH0hUolSf0Hel+lov/BdLvD2x\n3eVZuWC94VTfan6r1HOqbvJenKjkoytHZaUet2clXtbtXIBl3eQ9NXFk4saJurmrm6T6pvOw\nxHaXZZr/9WzelYP1HDo0cd//v70zAbebKtfw6cQoLbMySYEiIJdJZgoUkUFQQZQZr6CAKIrI\nRUEUBbkMMoOgV1FUQATKLDPIIAgFKijIKFOBFqSVeW5pz/2+NgvT7Z7PSvZe57z/83wnyUqy\n8uf9k+z8WSs50qmSWxd8A+2yTlgK539K59R1CuJS0kmSH34EO1EjPqfyNkwTR0u+XlRryckv\nG3v876pwsvQVaQupWgJ0hMrt82elC6X5pE4Yv//FUfe11dd2J0qbFbcZaoZAlxKo8Q5SLW+3\n1Ywp0gvSTlKvVHlhV1GpNlRbu0uyL/btmky+kXOZbzyDPasRl90rzREKSxw68TlAelOyHxOl\nO6WrpPOy4TgNn5M8f5q0v1S2DdcGfybdIb0h2Ze8fAMXzMt43nRp61BY4nCwtnWZlPfPP+4f\nlM7Iyn18XCxNyqZ949kp+5I2/Lbkrgv3SU7inbR5eqr0kOTzy/vjsr2lsm0ZbdDbP7nFDTsW\nDa3dPug13kFKKf5nCY65jmgIafYFmuI6+yp9mkrp/PeOFnZORX4HyQ+W7pF8DLwjLSBVs8+r\nMFwDbtL4oGoLFVz2RdXv6499fbDGtuzXb7JlvJxVtvH7XyxxP2j276fvB6JYu9f/KBvvcCU+\nWLH+S8BPFHyy/Fo6v0t200/YPy4dLu0lfVKyOVk6RPLTuWB3a8QX9B9Lvhkt2/wD4ptOczxK\n2lhaV8qbnxg7QbLfp0pO6sq217TBfbON+uZsecktGtYa0mNSMD/h9DsoB0h/DIUlDv0j7qeY\n20kbSE9Kf5B8g3GQNIf0KWkdyYnJadLBUqfMx9/V0rek3aQvSuEJ7TCNryQ5gfb55WPEbFMx\nx6JsSy3+7fApm2tK5795pnJOOSnaUPq+tIX0slTN5lWhr1t++OhrlX83yraztcHnpe9J9qea\n2a89Jf+u+lq1gFS28ftfLPEXVX3lPUqxW6R2CHQLgRZbkPJuf10TN0v75Qu7YNxdFxbpAj+a\ndcFPa93twklIq0+Wm91GkcvNV2Tlkep2kreMFBKRSNVGqcY+LSE5gfsvaX6p0+Ynw46rk9/o\n1u4TxBotSM341y3xn0vOpnC+NMM0LNON+xPtnIrcghSYNRrOrQW66Vrl86eRuaVh20YLlTCf\n3/8SIPdlE+1e//uyzW5ZlxakbolEfD98E7eg5B9EP+G+SjpDmiZ1k70uZ9xnf6TkC/ur0hTp\nRakbzT+Eln31uzF+Ima+3WaV8TfXSZJ5d5P5aafj76eZ+fg/1U1OZr7kfXVS4th3w42RnwxX\nxrVW/Lvt/M/Qzjbw75IfRDhB6eS55RYEq5655cCtiI9LnfS1no9h3oc14uO18lgJ8zs1dHdf\nX5ssm5muJnUb0/z5n79WddtvlVswG53/9vlyqdP2zyoOdOs55fgvKoXfKp9LvlZ1W/zlUsP4\nexmsAQGf5Fj/IeAnyKdIz0kTpful26W/Sb7hfEW6SdpY6rRtJAfsm316THKz/53Sw9K/pCek\nEyQ/neu0rSEHfiVNll6SzPIRyYz9zo99/YW0iNRJI/7F0E/lWE0p/jspVKdL7pI0KgubHzhc\nIPn89zXLXcfOljrdUpuKryPF6lDpp9J20jDJtqN0n/S09KTk69bWUictFaZmxPkf/0gh/vGZ\npnT9j7/31AiBOl3s3FQ9TvLTo4ckJxvTJT9d/pPkG3wnR+9KLj9SGip1wvbWRv1OkZONP0t+\nimQ//bTWN00XSU9ILvO++Glip+yH2rD9sHyDcYd0pXS+dI10l/S85Pm+sdtV6oQR/2Kop3Ks\nFhb/drtY1Ohi54dyl0vhnPLwZenD0i+z8hs19AMHPzTx/Nskt9iVbSn5uqngvCrluZ6o6eUl\nt2z5odlZ0nmSH0p5uc2lsq1QpgV0sRvw53/kA6TQ+Ef21dUN+Pi3e/0vIBZUCYH6BOokSNdr\nzUnSOrkafNN0oOQuFRtm5QtreLzkH8jTsrIyBxtk2/YLraF1yBfNMZITvEskN137hmgT6Unp\nbWlJqWzbQRs0JydCH6uzcfu6sTRe8vLex7KN+McnntKxWlj82/2BrJEg7aMw+Ry5QfqMtK/k\nc9ytyDOk7aW8uUXEy++SLyxpPBVf5xSPpyR39Tlc2lRyMmSej0t+CJVvhVtC0xOkR6WyrVCm\nkRMkzv/4R0eh8Y/sLvEX0Hav/5FjQXUQaEygRoI0n9acKn2+Rg3nqNw/knk7UxNusXG/2jLt\nGG3M3T2cVFTacirwzdBmuRkjNR5avHLFpYyeq624JWvOJre2gJZzt6CfN7l8rMWIfyySs9eT\nyrFaaPzb/YGskSBdLcS+kZ8rh3objfu8vypXFkb98OQZyd3GyrZUfPVDMfP7TgWge7PytSvK\nPblXNm+RKvOKLCqUaeQEifM//pFQaPwju0v8BbTd63/kWHSkOv/4YOkTGKNdGCb9tcauOCFZ\nV3If/2CXasQ3/qNCQUnDzbUd++Mf9EpzMvKmlE+QJmja+7WyVLatqg2Ok9wtsRl7WQvdL/kJ\nbZlG/IuhncqxmlL8l1aobpL8cCbYjRpxa8dDoSA3dPlT0odzZWWNpuKr/bT55jNvblW0VePq\na62tbK6pMDUbzn9TiGvEPy5P1zZGSuX+L/7eF1gjCVKBcEus2u++2EbPGvzHX9/oO9a9uTnL\nZOPuvlam2dd1pKFVNrqsyipbtNzdbimpbD/t3vPSmpIvPs2YW5DM+pFmFo64DPGPCDNXVSrH\nakrxf0Z8PyHlW5C20rSvTx+VKs3XCXdvnVA5o4TpVHy1n7ZPzRq8//fT2Vg1rr4G2ybM/Fve\nn1SYmgjnf/zjgvjHZ5rS9T/+3hdY4+AC66bq8gi4RWaKdLIU3jUKW99RI7tJ90hunbFtJO0n\n+eMIT0pl2g3a2AqSX8LOJ0MLafrXku3WWYOZ/eaP0viikj+OULa5H/+K0sWSW+BqmbsLmum1\n0jzSZVKZRvyLoZ3KsZpS/C9XqBaQrpa2kw6RTpH81TonSrtKwfz79EvpA9ItUtmWiq/3CczT\nklkeIW0jXSL52vV36SfSglKwtTRysPSA5O6OZVoqTM2E8z/+kUH84zP1+Z/K/V/8vadGCAQC\nNd5B8uxtpRmSW4mcDPmm3jcdnnYXsTUk256Sy96TdpbKNj8R9pff7INP6msyuXuay8ZKwZ7V\niMvuleYIhSUOnfgcIDmxtB8TpTulq6TzsuE4Df2FKM+fJu0vdcKIf3zqKR2rhcW/3T7oNd5B\nctLjBwg+X4Ima/yD0hlZma8Pvn5NyqZDVzFNlmop+bqpyLwiBaYe/khaTnpL8lNmc79dmipN\nl/xQp2wrlGnkd5A4/+MfHYXGP7K7xF9A273+R44F1UGgMYE6CZJXHi2Nl5z8+AfSN+w3S6tI\nwfx08SJpTCjowNCtLMdJL0n20/JN0nelfHc23yQdIXn5Ttqy2rgTonDDFnz20MnTY9IJ0lJS\nJ434x6ef0rFaSPzb/YGskSCFCG2nkeOlr0lLZIXza/hbyQ9OfG75xt6tH3NLnbRUfPX7RN+W\nfiy5G+MQybaj5Ac5TorM9UGpE8mRNvu+FcI0coJkZwf8+f9+xOKOFBL/uC7OrG3Ax7/d638B\nsaBKCNQn0CBBCivPqZFlpHyyEeZ12/BDcmiRbnOqjj/DNc+J0PLSiDrLdXIW8S+GfirHatT4\nt/sD2SBBqhchP2X29Svc4NdbttPzUvLV19l8V7tOs6u1/baZFpAg5X0ckOd/HkBJ423Hv2D/\nBmT8273+FxyLUqp3EyLW/wi4S91TiezWPxPxM7j5mkasbjbiX0x0UjlWU4p/tUi5q3Aq16+U\nfHXLXArWrUw5/8s5eoh/3zinfv3v295HXJsEKSLMLqvK3Vb8tHA+yd3AXpXcRWya1E02r5xZ\nTFpA8pMj++kf8helbjT76ZYjP6V/Q3K/f/PtNiP+8SOS0rFK/Ik/1/+4xwDnf1yeri0lpin5\nmsr1P/4RFbFGEqSIMLugKt+0Hyu5z7mTjkpzn36/AH24dKvUSXMfePeVX0eqdhw+qfJLpR9I\nb0udtDW08a9Lfn+rWndA+/pH6VBpitQpI/7FkE/lWCX+xJ/rf/xjgPN/4DL1nhP/+PFPokY/\nscf6BwH3j71F+qbkVg0nQm6qtjkZOlNy2WjpZulIqVpiouLCbW9t4UZpJck+vSDZ3DT8U8kf\nZ7AdKN0jreaJDtkPtd17pT0lJ2rjpKukC6Rrpbslv8j5FelhKf+ZYk2WZsS/GNSpHKvEn/jf\nIgRc/+MeB5z/cXm6tlSYpuRrStf/+EcUNULABOp8pMGfwp0kuUUmmE8aJxmvSxtmhQtreLzk\nrxmdlpWVOdgg2/ZPNJw727AT9TGSk49LJL+c7U9sbyK5dcaJyZJS2baDNmhO10gfq7Nx+7qx\nNF7y8t7Hso34xyee0rFaWPzbfUm3xkcaUmKakq+FxT/yaVUo08gfaSjU18hciX9koKqO+AtC\nu9f/+OGgRgg0IFAjQfJ7RlOlz9dY/RyV/7linluU3pHmrSgvevIYbeA+yUlFpS2nAicYm+Vm\njNT4dMktXmXbudrgE5K7LjVjfj/pNennzSwccRniHxFmrqpUjtVC49/uD2SNBCkVpj4MUvG1\n0PjnzocYo4UyjZwgFeprDJhZHcQ/IsxcVcRfMNq9/uc4JjtKF7tkQzeb4259GSb9dbbSf084\nIVlX8n+kD+b3e+aURoWCkoabazv2x4lQpTkZeVPKJ0gTNO39Wlkq21bVBsdJ7vrXjL2she6X\n/IJkmUb8i6GdyrFK/Ik/1//4xwDn/8Bl6j0n/vHjn1SNJEhJhaums/4v6Ta/X1TNfKPvWOeT\nEv+fEZu7r5Vp9rXWhxmW1bzKFi13t1tKKttPbbLneWlNyTcfzZhbkMz6kWYWjrgM8Y8IM1dV\nKscq8c8FLeIo8Y8IM6sqFaZ2NxVfOf/jH6fEvximSdVKgpRUuGo66xaZKdLJUnjXKCy8o0Z2\nk+6R3Dpj20jaT/L/dfA7PmXaDdrYCtIvpHwytJCmfy3Zbp01mPk57aM0vqh0R1ZW5uAsbWxF\n6WLJLXC1zN0FzfRayR9suEwq04h/MbRTOVaJP/Hn+h//GOD8H7hMvefEP378qRECxRGo8Q6S\nN7itNENyK5GTId/U/y2bdhexNSTbnpKXeU/aWSrbhmqD/nKdffCP+jWZ3D3NZWOlYM9qxGX3\nSnOEwhKHTnwOkJxY2o+J0p3SVdJ52dBd8J6TPH+atL/UCSP+8amndKwWFv92+6DXeAcpJaYp\n+VpY/COfVoUyjfwOUqG+RuZK/CMDVXXEXxDavf7HDwc1QqABgToJktccLY2XnPyEG/abNb6K\nFGwbjVwkjQkFHRi6leU46SXJflqTpe9K+e5sTvKOkLx8J81d/5wQTZKCv2Ho5Okx6QTJXQE7\nacQ/Pv2UjtVC4t/uD2SNBMkRSolpSr4WEv/4p1Rx8Y+cIKV2rA74+Kd0rBbgayHxb/f6X8D+\nUSUE6hNokCCFlefUiN8xyicbYV63DT8khxbpNqfq+DNc85wILS+NqLNcJ2cR/2Lop3KsRo1/\nuz+QdRKkfHRSYWqfU/E1avzzwSpgPCrTAhKk/C5H9TVfceTxARv/yBwrqxuQ8W/3+l8JL8Vp\nNyFi/Y+Au9Q9lchu+T2oVMzv7Pkz3lY18wclnED5gxLvVFugpDLiXwzoVI5V4k/8uf7HPwY4\n/wcuU+858Y8f/66u0Td8GAQgUJvABzXrAsndAZ0Y3Sy5KbuauSujlzu42kzKIAABCEAAAhCA\nAAS6nwAJUvfHCA87R+AD2rTf6fKXAN06NFEaI90qHSVhEIAABCAAAQhAAAL9jABd7PpHQFfW\nbnyyzV05sc312l1tb63obmitmj/zPa7Vlfq4/He0vt83+pFkTq9L/r9I/hz596S5pf+ROm3E\nv5gIpHKsEn/iz/U//jHA+T9wmXrPiX/8+CdVIwlSUuGq6ewozfFX1NqxshOkfeXk6m04erjW\nKTtB2kDbnCwdKfnLgLZ7pI2lKyR/Avx56Xipk0b8i6GfyrFK/Ik/1//4xwDn/8Bl6j0n/vHj\nn1SNQ5PyFmdrEbhcM74i/VTy/0Ly+CtSN9pWcuoSaX3Jfrs1phl7tJmFIi+zhOq7TQrJUaj+\nVY18Opt3rIZPS2OlThnxL4Z8Kscq8Sf+XP/jHwOc/wOXqfec+MePPzVCoDgCDT7z7X8W1yt1\n8ma9mZ33Z0jvlPy1rTWaWaFDy/if2DrRnKvG9p1APSP5q3X+cINbxsz/MKkTRvzjU0/lWPWe\nFxL/dj/zWucz3ykxTcnXQuIf/5TqKYxpAZ/5LszXArgO+PgXwHTAx7/d638BsSi9Sj7SUDry\nQjfoJ8nnSjtImxW6pb5V7sRoz6yK0/pWVaFr36jaR0hHS4tX2dIklW0u+d2kq6VPSZ004h+f\nfirHqvec+BN/rv9xjwHO/7g8XVtKTFPyNZXrf/wjqqAaSZAKAtvBavfXtu+WPtdBH5rZ9INa\nyB868AcbVmlmhQ4sc7q2+ZB0gPSstLNUaY+qYAvJXRuPzGYOyoadGBD/+NRTOFbDXhP/QCLe\nkPjHYxlqSolpSr5y/ocjLN6Q+MdjmVRNvIOUVLiacvZFLbVuU0t2fiF/IMLqVvM/ezXLo6Rt\npKlSNfubCteSnFC1+zWpavW2U0b826HWeJ1uP1bDHhD/QCLukPjH5enaUmGakq+c//GPU+Jf\nDNOur5UEqetDhIMdJvCGtu+ncla9FtcnNN8vda4tObHCIAABCEAAAhCAAAQSJECClGDQcLlj\nBNyNrpGNb7QA8yEAAQhAAAIQgAAEupdAvSfi3es1nkEAAhCAAAQgAAEIQAACECiAAAlSAVCp\nEgIQgAAEIAABCEAAAhBIkwAJUppxw2sIQAACEIAABCAAAQhAoAACJEgFQKVKCEAAAhCAAAQg\nAAEIQCBNAiRIacYNryEAAQhAAAIQgAAEIACBAgiQIBUAlSohAAEIQAACEIAABCAAgTQJkCCl\nGTe8hgAEIAABCEAAAhCAAAQKIECCVABUqoQABCAAAQhAAAIQgAAE0iRAgpRm3PAaAhCAAAQg\nAAEIQAACECiAAAlSAVCpEgIQgAAEIAABCEAAAhBIkwAJUppxw2sIQAACEIAABCAAAQhAoAAC\nJEgFQKVKCEAAAhCAAAQgAAEIQCBNAiRIacYNryEAAQhAAAIQgAAEIACBAgiQIBUAlSohAAEI\nQAACEIAABCAAgTQJkCClGTe8hgAEIAABCEAAAhCAAAQKIDC0gDqpsgQC04YMnuuO9XeYu4RN\nsQkIQGAAE+jtGTR0UJv739vbM4TrVJvwWK1lAr2Dett/6Ns7aBjHasvIWaGfE+jL9T91NCRI\niUVwxtRpL/cOHXzG0KE9Bw7vaf+3ILHdxl0IQKBTBHp7emYMmnFlq5uf3tvzlyGDepcdPmjw\nKa2uy/IQaItAb881vUOmP9jqur29M8b2DBq0nH5TOVZbhcfy/ZtAm9f//g2FvYMABCAAAQhA\nAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEI\nQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIAAB\nCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAA\nAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQg\nAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAE\nIAABCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAA\nBCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAhCA\nAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQ\ngAAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAAC\nEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAA\nAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAAQhA\nAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEI\nQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIAAB\nCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAA\nAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQg\nAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAE\nIAABCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAA\nBCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAhCA\nAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQ\ngAAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAAC\nEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAA\nAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAAQhA\nAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEI\nQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIAAB\nCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAA\ngYFKYMhA3XH2GwIQgAAEupbAEvJsM2l56bEGXn5M89eT5pBeaLAssyEAAQhAAAIQgAAEIAAB\nCCRHYB557MSoV9q7jvdLad5r0lvSCnWWYxYEIAABCEAAAhCAAAQgAIGkCWwo76dLr0pL1tiT\na1XuJOobNeZTDAEIQAACEIAABCAAAQhAoN8QOEl74gToyip79KVs3vUaDqoynyIIQAACEIBA\nWwT4UWkLGytBAAIQgEAJBObWNu6T/C7SF6RzJdvi0oOSk6dVpElSpXmdTSV3vZsg3SLdL1Wz\n0SpcXRolvST9Q7pcekcK5roWkK6QviwtJHmZByQMAhCAAAQgAAEIQAACEIBAKQScvLir3WTJ\nCYrtIsnJ0S6eqGIHquxdaYb0rPSe5DqOkvIPBkdoeqzkurzslGzc049KTsSCOTF6Wjpd8nzr\nBgmDAAQgAAEIQAACEIAABCBQKoETtTUnJD+Tts7Gz9ewmn1GhV72T1JIcObT+O+z8t01DHa4\nRrzsKdLCkm0l6ULJ5U6ogjlBcqL1srSX5ORsYwmDAAQgAAEIQAACEIAABCBQKgF3tXOLjluB\nnpPcpS60Jml0NntEU05u1pyttKdnXk37a3deP7QiOTG6XvJX8/LmdV2HW6qCOUFyGR+ECEQY\nQgACEOinBIb20/1ityAAAQhAoP8QeFu78iXpAC7yngAADTBJREFUNmkxaUvJLTmVNr8K/M6R\nPxE+TVpVytt4TbjVxy1LTrK+JeXNrUgrSn7fyFaZOLnsLv/BIAABCEAAAhCAAAQgAAEIdJrA\nv+RA/sMJlf6srQK38jTSmGzFwRruLt0sue6wnj/U4PFrpGChBSl0xQvlDCEAAQhAoJ8RoAWp\nnwWU3YEABCAwgAmE5Ok6MTi+DocHsnmna/g16UnJH2twC9N9krvhPS9Vs6nVCimDAAQgAIH+\nQ4AEqf/Ekj2BAAQgMNAJPC4AbvlxK8+NVWCsqzK/x/S6tKjk5OghaS3J3fiC+ct5tiGzBvyF\nAAQgAIGBRMDdCzAIQAACEIBAfyDgJMcfXfBHFvy1u7ytrIlbpTMlJ1HLSLYXpHxy5A84OHGy\nDZs14C8EIAABCEAAAhCAAAQgAIHuI9DoHSR77I80OOGxDpM2lw6S3Lrkz3S7tcjmDzBMlpws\nHSmtL+0kXSq9KXl9d7cLFt5BGh4KGEIAAhCAAAQgAAEIQAACEOgkgWYSJPvnL9G5tcjd6ZwA\nWROl3aW8bagJf/EuLOMEyonQyGzo9f3FOxsJ0iwO/IUABCAAAQhAAAIQgAAEEiXgVqLVpaWl\nWu8Tuav5SMmfBJ9LwiAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQ\ngAAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAAC\nEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAA\nAm0RqPWP89qqjJUgAAEIQKBPBIZr7a2lOaQX+lTTv1deQKNbSb7eT/l3cdeMeV+PliZK/8p5\ndYjGR0iP5cpaGXW920jLSq5jM2k1aZI0VcJqE2jEbiGt6pj9VXqzdjXMgQAEIAABCEAAAhCA\nQN8IrKrVe6XT+lbNbGuvl9V57Gyl8SeGqcrvSDu1WPX/avm/S+GB3eBs/b9oeGA2HsqyyaYG\nC2spswxJ4UPZ9EpNrT2wF2qG3eVCdMHAxsTeQwAC/ZVAOz86/ZUF+wUBCEAAAu0T2FGrHid9\noIUqnBAeLH1Xmi4tJT0rHSm5ledD0pnS7RLWXQQcs+2lbbvLLbyBAAQg0HcCJEh9Z0gNEIAA\nBCDQHgG3Hv1Duiq3uhOi0dL60j7SfJJbKlr9vXpV6zjJCt32QktSGGoWVoNAM+we1rp/kI6R\nBtWoh2IIQAACSRIYmqTXOA0BCECg/xNwS8xnJb83M0G6WXI3sUrzdXwt6ePS/NL90lhpmlTL\n/D7OEtLvJLfcBPO7J7tIz0jeXrDFNOLWguWkydKDkpOa9yTbRpk8voHk8kul16RatoJmfEb6\nYW4Btx55+nRpYWmkdLZ0pdSqef8fkZ7IVnQ3Pm8zJExZ8cxkbHVNjJJekpywufvYO5JtE2lp\nyWWvSHmbRxM7SPb7ptyM5TW+qeTtTZBukRyXvHn+AtIV0pelhSRv4wEpmBPFer6F5Tx0bLaS\nHKs7pKslv4NlDh7PWyP/mmXnxPU8aWspn+Tmt8U4BCAAAQhAAAIQgAAE2iYQ3kG6VjX4Cb3f\noXk3Gzrp2F7KmxMi3/h7OScjr2fjTqTmkmzrSZ5/rCcyc/0umzsUZEPfsLvcyU0wJ1NOFlzu\n5CL4M17jS0i2cyXPD5qhcScH9ew4zfTylcs54fC+OjE8XHpD8k1/O3aYVvpqtuLnNDw1V8kI\njY+V7IP9dctS8P9RjS8u2faVXP51T1TYbpr2vP1z5Qdq3IxcpxMn74uT0KOkfEvLFZp+Wjpd\nCtu9QeO2Zn2btXRPz/9pxHU4sZmcjTt5cXJ4p5S3Zv07TCvVYhfqcxL/tnRZKGAIAQhAAAIQ\ngAAEIACBmARCguSb3UukZSUnOrtKvsl2AhRusufU+K2Sk5cvZOVOeA6WvP73JVtfE6QnVYeT\nh4+6Mplvin2z7238WAoWkoU9Q0GD4fWa/1yVZYaobPOs3C1an6iyTIyiw1WJ9+EUaWHJtpJ0\noeRy76PNSaiTgHGeqLDrND1VCuu7Rczr/kkKCZa7CP4+K99dw2BOkJw8vSztJe0ibSzZDpea\n8c3L7pMte7aG87pANloyW9dxlxSsFf/COo2G3tcJjRZiPgQgAAEIQAACEIAABNohEBKkZ7Sy\nE6O8/VkTvuH9cFboJMLTJ2fTYeAE6kbJCcgwqS8Jkn1wYnaLFBIzjfY4OTtE2soTmbWaIPkG\n/s6wcgeGTozMaJ6Kba+paXO9KFd+XlY2Kle2mMad4FycK3tE417XdeTNictbkvc5cHSC5GW/\nIVVaK769oJWflhyTvO2oCdefT5Ba8S9fV73xczTTrWVOBDEIQAAC/YLA0H6xF+wEBCAAgf5F\n4D7tzjsVu3SLpt0y4FYlJ1BrSDa3NOXNN8WxWl3sw+3SGOkOaax0rfSwdIzUrrkrnxMM190p\n+1bFht0KtKK0aVaeT5x+o7KdJSeBP8rm76qhW7s8z+aWphWkx6RpkpPdvI3XhFuI3LI0KTcj\nn8CE4mZ9W1IrLCr9XHo3rJwNfVw4uQ3Wrn9h/VpDH4tO+tzCWG1faq1HOQQgAIGuJUCC1LWh\nwTEIQGAAE/BNZ6WFG2DflNtWmzWY+Z5LNlrIYHvVer70cWk96STpKels6WhpqtSq+WbaNnHW\noCN/B2ur/y3tIa0iLSTZ3OXN5pv+YH/UyLNSPkHyuv+UnDDalp81mDl0glvL3AqVT5DMstKa\n9S0cA9U4unXL/gVr17+wfq1h2DYJUi1ClEMAAskRGJqcxzgMAQhAoP8TcJelRuZWClu+pWNW\nSfN/80mA16rWTWqyyjeVPiJtJX1S2kQ6TFpf2lJq1cL+uVWjU3a6Nvw16UlprOQWHic27gb3\nvJQ3+3uWdKi0juR3kpycnCA5EbG9M2vQc52Gx2fj1QYPVBRWSzCb9e2NrK4FK+oMkyM0EpKx\ndv0LddUahhjmW6tqLUs5BCAAgSQIkCAlESachAAEIPAfBB7PSpbT8KGKuQdp2q09364oD5Ph\nZnkuFbwVCjV0XXnzuzPuyjdFelT6h3Sq5NYWJxNbSO4y5qSiFQsJyIqtrBRx2UVVl5Mjc1tL\ncsITbHQ2MiQUZMPfavh9yV/ZC8lp6F6noh7Ho1daWLpRqrR1VeAk4vXKGRXTrfj2SLZuaEnK\nV+VY+oMawWL5F+oLwxDDENNQzhACEIBAsgTcjI9BAAIQgEB6BK6Wy74h36/C9eGa9o38ZlJo\nPahY5P3/BeSWobztkU2ElqVRmr5N+l1WHgYvauRpyTf8IdkKSYOTqkbmhMrrrdBowYLmL5PV\n+4KG+eTI++3EyTZs1uD9v09o7FZpO8lJ0t2SE6xgrud6aU1p61CYDVfW0OueKTlm9awV3+y/\n3zX6hLR5rlInd8fkpj0ay7+Kame+t+Uyt8RhEIAABCAAAQhAAAIQiEpgVdXmG+jTqtT6g2ye\nb4aD/UojXv5yaRtpH2m85LJvSrb1JE8f64nMttTQZb7BdjK1h3SZ9Lzk/6fk8WA3acTLumx3\naUfpbMllF0vBNtGIy9zK5G0tJdUz/2NRL+8Wk1Ys7M+4VlaqWHYeTU+WvP0jJXcV3Em6VHpT\ncjLhFrJK210FXsf6auVMTa8geV3rMMlJy0GSW2/ek9xaFewKjbie4aEgG7bq20e0nuM2VTpL\n8v7cLbnVz/XnObXin1Ztyl7RUo45BgEIQAACEIAABCAAgegEWk2Q3FJwqPSG5Jth62Up36oU\nEop8gqRFZi7jZMjr+B2be6XlpGckJwrBFtLI7yXf4IdteL3TpXwry1BNny+5JcnLbS/VMycY\nXm7LegtVmRf2J3/jX2WxhkUbaonHpLBP3j8nLSOz4XQNF5fy5tYx77sToPnzM3Lj7nLm1iKv\nH+qeqPHdpbzVSpC8TKu+Lal1zpOekpz4OXFdVvL2b5Dy1qx/+XVqjbu1y9vwu1gYBCAAAQhA\nAAIQgAAEuobAYHkySnILgROVZs3rrSQt3MQKfp/FXcWWlwbVWX5uzWumVcj1uavdlXXqqjXL\nXdwurDWzhXLv/0jJielcUkxzS9Dq0tKSE9lWrVnfaiVqi2iDTl7Or7Hhvvrnak+SnCx6HzEI\nQAACEIAABCAAAQhAoI8Edtf6br1apYV65tCyV0v5VrIWVu93i7p16mHJXPJ2tCacIO2fL4w4\nvqDqekM6MmKdVAUBCEAAAhCAAAQgAIEBTcAtUeOlc1qg4O5kR0j1WrFaqC75RX+iPXAidL30\nVWlX6VeSuzreIc0nFWF+J+45Kf+lvCK2Q50QgAAEIAABCEAAAhAYUARGa2+nSnTTai/sbjk6\nWfLHJZwoWZOkc6URUhHm7nlTpD2KqJw6IQABCEAAAhCAAAQgMNAJrCYAzbwHNdA51dt/fzBj\nWanR1wPr1dHsPLcarS3RitcsMZaDAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAhCA\nAAQgAIGECfw/SQ4zpvwjfV8AAAAASUVORK5CYII=",
      "text/plain": [
       "Plot with title “Classes Average Distance Cluster - scaled data”"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "h4 <- hclust(ds, method=\"average\")\n",
    "\n",
    "plot(h4, hang=-1, main=\"Classes Average Distance Cluster - scaled data\", xlab=\"Year\")\n",
    "rect.hclust(h4, k=3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "massive-bullet",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1994，1999，2000，1995，1998，1996，1997，1988，1987，1985，1986，1993，1992，1989，1990，1991"
     ]
    }
   ],
   "source": [
    "# HELPER：Years in the hclust order\n",
    "cat(h4$labels[h4$order], sep=\"，\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "independent-broad",
   "metadata": {},
   "source": [
    "聚成三类的结果：\n",
    "\n",
    "- 第一类：1994，1999，2000，1995，1998，1996，1997\n",
    "- 第二类：1988，1987，1985，1986\n",
    "- 第三类：1993，1992，1989，1990，1991"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "plain-permit",
   "metadata": {},
   "source": [
    "可以看到，在数据标准化之前不同聚类方法得到的结果不仅尽相同，而且在标准化前后聚类结果也是不要一样的，但是在数据标准化之后，两种不同的聚类方法得到了相同的结果。"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "alpine-absorption",
   "metadata": {},
   "source": [
    "ref: https://www.jianshu.com/p/50cb85285af0"
   ]
  }
 ],
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